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Finding the Fourth Proportional to 477.25, 715.56 and 271.92

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Solution

The fourth proportional to 477.25, 715.56 and 271.92 is: 407.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.25 : 715.56 = 271.92 : x
  2. Step 2: Convert to fraction form
    477.25/715.56 = 271.92/x
  3. Step 3: Cross multiply
    477.25x = 715.56 × 271.92
  4. Step 4: Simplify right side
    477.25x = 194,575.08
  5. Step 5: Solve for x
    x = 194,575.08/477.25
  6. Step 6: Final answer
    x = 407.70

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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.