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Finding the Fourth Proportional to 112.17, 155.55 and 108.80

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Solution

The fourth proportional to 112.17, 155.55 and 108.80 is: 150.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.17 : 155.55 = 108.80 : x
  2. Step 2: Convert to fraction form
    112.17/155.55 = 108.80/x
  3. Step 3: Cross multiply
    112.17x = 155.55 × 108.80
  4. Step 4: Simplify right side
    112.17x = 16,923.06
  5. Step 5: Solve for x
    x = 16,923.06/112.17
  6. Step 6: Final answer
    x = 150.87

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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.