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Finding the Fourth Proportional to 118.97, 178.52 and 80.32

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Solution

The fourth proportional to 118.97, 178.52 and 80.32 is: 120.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.97 : 178.52 = 80.32 : x
  2. Step 2: Convert to fraction form
    118.97/178.52 = 80.32/x
  3. Step 3: Cross multiply
    118.97x = 178.52 × 80.32
  4. Step 4: Simplify right side
    118.97x = 14,338.73
  5. Step 5: Solve for x
    x = 14,338.73/118.97
  6. Step 6: Final answer
    x = 120.52

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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.