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Finding the Fourth Proportional to 476.91, 715.68 and 271.92

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Solution

The fourth proportional to 476.91, 715.68 and 271.92 is: 408.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.91 : 715.68 = 271.92 : x
  2. Step 2: Convert to fraction form
    476.91/715.68 = 271.92/x
  3. Step 3: Cross multiply
    476.91x = 715.68 × 271.92
  4. Step 4: Simplify right side
    476.91x = 194,607.71
  5. Step 5: Solve for x
    x = 194,607.71/476.91
  6. Step 6: Final answer
    x = 408.06

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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.