Question 54

x is 540

To find the value of x in the proportion where 18 is to x as 10 is to 300, we can set up the equation \( \frac{18}{x} = \frac{10}{300} \). Cross-multiplying gives us \( 18 \times 300 = 10 \times x \), leading to \( x = \frac{5400}{10} = 540 \).

A) 540

This option is correct because it accurately represents the value of x derived from the proportion. By solving the equation \( \frac{18}{x} = \frac{10}{300} \), we find that \( x = 540 \), confirming that this choice is valid.

B) 16.67

This option is incorrect because it does not satisfy the proportion given in the question. Substituting 16.67 back into the equation would not maintain the equality required by the relationship between the two ratios.

C) 180

This option is incorrect as well. If we substitute 180 into the proportion, it does not hold true when compared to the given ratio of 10 to 300. The calculations show that \( x \) must be much larger to satisfy the equation.

D) 30

This option is also incorrect because it does not fit within the established relationship of the proportion. Inserting 30 into the equation does not yield a valid result that maintains the equality required by the ratios.

Conclusion

The correct answer is 540, as it is the only value that satisfies the proportion established in the question. All other options fail to maintain the necessary equality when substituted back into the proportion, confirming that they are not valid solutions.