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Finding the Fourth Proportional to 477.24, 715.22 and 271.68

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Solution

The fourth proportional to 477.24, 715.22 and 271.68 is: 407.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.24 : 715.22 = 271.68 : x
  2. Step 2: Convert to fraction form
    477.24/715.22 = 271.68/x
  3. Step 3: Cross multiply
    477.24x = 715.22 × 271.68
  4. Step 4: Simplify right side
    477.24x = 194,310.97
  5. Step 5: Solve for x
    x = 194,310.97/477.24
  6. Step 6: Final answer
    x = 407.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.