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Finding the Fourth Proportional to 154.60, 232.05 and 81.49

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Solution

The fourth proportional to 154.60, 232.05 and 81.49 is: 122.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.60 : 232.05 = 81.49 : x
  2. Step 2: Convert to fraction form
    154.60/232.05 = 81.49/x
  3. Step 3: Cross multiply
    154.60x = 232.05 × 81.49
  4. Step 4: Simplify right side
    154.60x = 18,909.75
  5. Step 5: Solve for x
    x = 18,909.75/154.60
  6. Step 6: Final answer
    x = 122.31

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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.