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Finding the Fourth Proportional to 132.32, 198.24 and 106.65

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Solution

The fourth proportional to 132.32, 198.24 and 106.65 is: 159.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.32 : 198.24 = 106.65 : x
  2. Step 2: Convert to fraction form
    132.32/198.24 = 106.65/x
  3. Step 3: Cross multiply
    132.32x = 198.24 × 106.65
  4. Step 4: Simplify right side
    132.32x = 21,142.30
  5. Step 5: Solve for x
    x = 21,142.30/132.32
  6. Step 6: Final answer
    x = 159.78

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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.