Question 56

X equals 540 in the ratio 9 : X :: 5 : 300

To solve the proportion 9 : X = 5 : 300, we can use cross-multiplication. This results in 9 * 300 = 5 * X, leading us to determine that X equals 540.

A) 540

Option A is correct because when we cross-multiply the given proportion, we have 9 * 300 = 2700. Dividing 2700 by 5 gives us X = 540, which maintains the ratio.

B) 600

Option B is incorrect as it does not satisfy the equation derived from the proportion. If X were 600, then 9 : 600 would not proportionally equal 5 : 300 when calculated.

C) 450

Option C is also incorrect. Substituting 450 for X does not fulfill the requirement of the proportion, as 9 : 450 does not equate to 5 : 300 when evaluated.

D) 500

Option D is incorrect as well. If we set X to 500, the proportion would not hold true, failing to match the calculated ratio from 5 : 300.

Conclusion

The correct answer, 540, is derived directly from the accurate application of cross-multiplication in the proportion. All other options fail to satisfy the mathematical relationship established by the given ratios, confirming that they are incorrect.