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Finding the Fourth Proportional to 391.92, 588.15 and 199.50

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Solution

The fourth proportional to 391.92, 588.15 and 199.50 is: 299.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.92 : 588.15 = 199.50 : x
  2. Step 2: Convert to fraction form
    391.92/588.15 = 199.50/x
  3. Step 3: Cross multiply
    391.92x = 588.15 × 199.50
  4. Step 4: Simplify right side
    391.92x = 117,335.93
  5. Step 5: Solve for x
    x = 117,335.93/391.92
  6. Step 6: Final answer
    x = 299.39

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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.