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Finding the Fourth Proportional to 132.97, 198.42 and 132.22

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Solution

The fourth proportional to 132.97, 198.42 and 132.22 is: 197.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.97 : 198.42 = 132.22 : x
  2. Step 2: Convert to fraction form
    132.97/198.42 = 132.22/x
  3. Step 3: Cross multiply
    132.97x = 198.42 × 132.22
  4. Step 4: Simplify right side
    132.97x = 26,235.09
  5. Step 5: Solve for x
    x = 26,235.09/132.97
  6. Step 6: Final answer
    x = 197.30

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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.