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Finding the Fourth Proportional to 118.54, 177.17 and 108.21

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Solution

The fourth proportional to 118.54, 177.17 and 108.21 is: 161.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.54 : 177.17 = 108.21 : x
  2. Step 2: Convert to fraction form
    118.54/177.17 = 108.21/x
  3. Step 3: Cross multiply
    118.54x = 177.17 × 108.21
  4. Step 4: Simplify right side
    118.54x = 19,171.57
  5. Step 5: Solve for x
    x = 19,171.57/118.54
  6. Step 6: Final answer
    x = 161.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.