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Finding the Fourth Proportional to 477.60, 658.68 and 311.76

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Solution

The fourth proportional to 477.60, 658.68 and 311.76 is: 429.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.60 : 658.68 = 311.76 : x
  2. Step 2: Convert to fraction form
    477.60/658.68 = 311.76/x
  3. Step 3: Cross multiply
    477.60x = 658.68 × 311.76
  4. Step 4: Simplify right side
    477.60x = 205,350.08
  5. Step 5: Solve for x
    x = 205,350.08/477.60
  6. Step 6: Final answer
    x = 429.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.