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Finding the Fourth Proportional to 132.08, 197.18 and 126.68

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Solution

The fourth proportional to 132.08, 197.18 and 126.68 is: 189.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.08 : 197.18 = 126.68 : x
  2. Step 2: Convert to fraction form
    132.08/197.18 = 126.68/x
  3. Step 3: Cross multiply
    132.08x = 197.18 × 126.68
  4. Step 4: Simplify right side
    132.08x = 24,978.76
  5. Step 5: Solve for x
    x = 24,978.76/132.08
  6. Step 6: Final answer
    x = 189.12

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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.