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Finding the Fourth Proportional to 155.13, 232.20 and 106.89

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Solution

The fourth proportional to 155.13, 232.20 and 106.89 is: 159.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.13 : 232.20 = 106.89 : x
  2. Step 2: Convert to fraction form
    155.13/232.20 = 106.89/x
  3. Step 3: Cross multiply
    155.13x = 232.20 × 106.89
  4. Step 4: Simplify right side
    155.13x = 24,819.86
  5. Step 5: Solve for x
    x = 24,819.86/155.13
  6. Step 6: Final answer
    x = 159.99

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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.