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Finding the Fourth Proportional to 477.39, 658.38 and 311.49

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Solution

The fourth proportional to 477.39, 658.38 and 311.49 is: 429.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.39 : 658.38 = 311.49 : x
  2. Step 2: Convert to fraction form
    477.39/658.38 = 311.49/x
  3. Step 3: Cross multiply
    477.39x = 658.38 × 311.49
  4. Step 4: Simplify right side
    477.39x = 205,078.79
  5. Step 5: Solve for x
    x = 205,078.79/477.39
  6. Step 6: Final answer
    x = 429.58

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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.