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Finding the Fourth Proportional to 118.18, 176.85 and 100.09

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Solution

The fourth proportional to 118.18, 176.85 and 100.09 is: 149.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.18 : 176.85 = 100.09 : x
  2. Step 2: Convert to fraction form
    118.18/176.85 = 100.09/x
  3. Step 3: Cross multiply
    118.18x = 176.85 × 100.09
  4. Step 4: Simplify right side
    118.18x = 17,700.92
  5. Step 5: Solve for x
    x = 17,700.92/118.18
  6. Step 6: Final answer
    x = 149.78

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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.