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Finding the Fourth Proportional to 136.67, 187.30 and 132.05

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Solution

The fourth proportional to 136.67, 187.30 and 132.05 is: 180.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.67 : 187.30 = 132.05 : x
  2. Step 2: Convert to fraction form
    136.67/187.30 = 132.05/x
  3. Step 3: Cross multiply
    136.67x = 187.30 × 132.05
  4. Step 4: Simplify right side
    136.67x = 24,732.97
  5. Step 5: Solve for x
    x = 24,732.97/136.67
  6. Step 6: Final answer
    x = 180.97

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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.