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Finding the Fourth Proportional to 111.92, 155.20 and 108.96

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Solution

The fourth proportional to 111.92, 155.20 and 108.96 is: 151.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.92 : 155.20 = 108.96 : x
  2. Step 2: Convert to fraction form
    111.92/155.20 = 108.96/x
  3. Step 3: Cross multiply
    111.92x = 155.20 × 108.96
  4. Step 4: Simplify right side
    111.92x = 16,910.59
  5. Step 5: Solve for x
    x = 16,910.59/111.92
  6. Step 6: Final answer
    x = 151.10

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.