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Finding the Fourth Proportional to 477.07, 658.17 and 280.42

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Solution

The fourth proportional to 477.07, 658.17 and 280.42 is: 386.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.07 : 658.17 = 280.42 : x
  2. Step 2: Convert to fraction form
    477.07/658.17 = 280.42/x
  3. Step 3: Cross multiply
    477.07x = 658.17 × 280.42
  4. Step 4: Simplify right side
    477.07x = 184,564.03
  5. Step 5: Solve for x
    x = 184,564.03/477.07
  6. Step 6: Final answer
    x = 386.87

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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.