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Finding the Fourth Proportional to 136.47, 187.22 and 132.88

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Solution

The fourth proportional to 136.47, 187.22 and 132.88 is: 182.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.47 : 187.22 = 132.88 : x
  2. Step 2: Convert to fraction form
    136.47/187.22 = 132.88/x
  3. Step 3: Cross multiply
    136.47x = 187.22 × 132.88
  4. Step 4: Simplify right side
    136.47x = 24,877.79
  5. Step 5: Solve for x
    x = 24,877.79/136.47
  6. Step 6: Final answer
    x = 182.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.