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Finding the Fourth Proportional to 132.59, 197.92 and 120.44

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Solution

The fourth proportional to 132.59, 197.92 and 120.44 is: 179.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.59 : 197.92 = 120.44 : x
  2. Step 2: Convert to fraction form
    132.59/197.92 = 120.44/x
  3. Step 3: Cross multiply
    132.59x = 197.92 × 120.44
  4. Step 4: Simplify right side
    132.59x = 23,837.48
  5. Step 5: Solve for x
    x = 23,837.48/132.59
  6. Step 6: Final answer
    x = 179.78

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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.