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Finding the Fourth Proportional to 391.96, 587.89 and 103.42

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Solution

The fourth proportional to 391.96, 587.89 and 103.42 is: 155.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.96 : 587.89 = 103.42 : x
  2. Step 2: Convert to fraction form
    391.96/587.89 = 103.42/x
  3. Step 3: Cross multiply
    391.96x = 587.89 × 103.42
  4. Step 4: Simplify right side
    391.96x = 60,799.58
  5. Step 5: Solve for x
    x = 60,799.58/391.96
  6. Step 6: Final answer
    x = 155.12

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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.