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Finding the Fourth Proportional to 391.97, 588.15 and 229.97

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Solution

The fourth proportional to 391.97, 588.15 and 229.97 is: 345.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.97 : 588.15 = 229.97 : x
  2. Step 2: Convert to fraction form
    391.97/588.15 = 229.97/x
  3. Step 3: Cross multiply
    391.97x = 588.15 × 229.97
  4. Step 4: Simplify right side
    391.97x = 135,253.91
  5. Step 5: Solve for x
    x = 135,253.91/391.97
  6. Step 6: Final answer
    x = 345.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.