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Finding the Fourth Proportional to 118.31, 177.20 and 72.62

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Solution

The fourth proportional to 118.31, 177.20 and 72.62 is: 108.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.31 : 177.20 = 72.62 : x
  2. Step 2: Convert to fraction form
    118.31/177.20 = 72.62/x
  3. Step 3: Cross multiply
    118.31x = 177.20 × 72.62
  4. Step 4: Simplify right side
    118.31x = 12,867.01
  5. Step 5: Solve for x
    x = 12,867.01/118.31
  6. Step 6: Final answer
    x = 108.76

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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.