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Finding the Fourth Proportional to 477.42, 658.95 and 311.61

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Solution

The fourth proportional to 477.42, 658.95 and 311.61 is: 430.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.42 : 658.95 = 311.61 : x
  2. Step 2: Convert to fraction form
    477.42/658.95 = 311.61/x
  3. Step 3: Cross multiply
    477.42x = 658.95 × 311.61
  4. Step 4: Simplify right side
    477.42x = 205,335.41
  5. Step 5: Solve for x
    x = 205,335.41/477.42
  6. Step 6: Final answer
    x = 430.09

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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.