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Finding the Fourth Proportional to 477.40, 658.61 and 280.83

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Solution

The fourth proportional to 477.40, 658.61 and 280.83 is: 387.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.40 : 658.61 = 280.83 : x
  2. Step 2: Convert to fraction form
    477.40/658.61 = 280.83/x
  3. Step 3: Cross multiply
    477.40x = 658.61 × 280.83
  4. Step 4: Simplify right side
    477.40x = 184,957.45
  5. Step 5: Solve for x
    x = 184,957.45/477.40
  6. Step 6: Final answer
    x = 387.43

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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.