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Finding the Fourth Proportional to 391.92, 587.88 and 103.36

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Solution

The fourth proportional to 391.92, 587.88 and 103.36 is: 155.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.92 : 587.88 = 103.36 : x
  2. Step 2: Convert to fraction form
    391.92/587.88 = 103.36/x
  3. Step 3: Cross multiply
    391.92x = 587.88 × 103.36
  4. Step 4: Simplify right side
    391.92x = 60,763.20
  5. Step 5: Solve for x
    x = 60,763.20/391.92
  6. Step 6: Final answer
    x = 155.04

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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.