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Finding the Fourth Proportional to 132.12, 198.16 and 106.40

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Solution

The fourth proportional to 132.12, 198.16 and 106.40 is: 159.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.12 : 198.16 = 106.40 : x
  2. Step 2: Convert to fraction form
    132.12/198.16 = 106.40/x
  3. Step 3: Cross multiply
    132.12x = 198.16 × 106.40
  4. Step 4: Simplify right side
    132.12x = 21,084.22
  5. Step 5: Solve for x
    x = 21,084.22/132.12
  6. Step 6: Final answer
    x = 159.58

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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.