If 18 is to x as 10 is to 300, what is the value of x?

Rationale

540

To find the value of x in the proportion 18 is to x as 10 is to 300, we can set up a cross-multiplication equation: 18 * 300 = 10 * x. Solving this gives x = 540, making it the correct answer.

A (540) CORRECT

This choice is correct because when we set up the proportion 18/x = 10/300 and solve for x, we multiply both sides by x and 300 to get 18 * 300 = 10 * x. Thus, x = (18 * 300) / 10 = 540.

B (16.67) YOUR ANSWER

This option is incorrect as it does not satisfy the proportion. If x were 16.67, then substituting back into the proportion would yield a different ratio than that of 10 to 300. The calculations would not balance, indicating this is not the correct value for x.

C (180) YOUR ANSWER

Choosing 180 results in an incorrect proportion when substituted back into the equation. If x were 180, then 18/180 would not equal 10/300, as the ratios would not be equivalent. Therefore, this choice does not satisfy the relationship defined in the question.

D (30) YOUR ANSWER

Selecting 30 would also lead to a false ratio when placed back into the proportion. The calculation would show that 18/30 does not equal 10/300, confirming that this choice is incorrect and does not fit the initial equation.

Conclusion

The value of x that satisfies the proportion 18 is to x as 10 is to 300 is 540. Through proper cross-multiplication, we established that this value maintains the equality of the ratios. All other choices fail to uphold the defined relationship, confirming that 540 is the only viable solution.

If 18 is to x as 10 is to 300, what is the value of x?

540

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