Finding the Fourth Proportional to 457.23, 631.09 and 282.47
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Solution
The fourth proportional to 457.23, 631.09 and 282.47 is: 389.88
Step by Step Solution
- Step 1: Write the proportion equation
457.23 : 631.09 = 282.47 : x - Step 2: Convert to fraction form
457.23/631.09 = 282.47/x - Step 3: Cross multiply
457.23x = 631.09 × 282.47 - Step 4: Simplify right side
457.23x = 178,263.99 - Step 5: Solve for x
x = 178,263.99/457.23 - Step 6: Final answer
x = 389.88
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.