Finding the Fourth Proportional to 381.29, 572.09 and 207.74
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Solution
The fourth proportional to 381.29, 572.09 and 207.74 is: 311.69
Step by Step Solution
- Step 1: Write the proportion equation
381.29 : 572.09 = 207.74 : x - Step 2: Convert to fraction form
381.29/572.09 = 207.74/x - Step 3: Cross multiply
381.29x = 572.09 × 207.74 - Step 4: Simplify right side
381.29x = 118,842.08 - Step 5: Solve for x
x = 118,842.08/381.29 - Step 6: Final answer
x = 311.69
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.