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Finding the Fourth Proportional to 132.32, 197.66 and 131.72

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Solution

The fourth proportional to 132.32, 197.66 and 131.72 is: 196.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.32 : 197.66 = 131.72 : x
  2. Step 2: Convert to fraction form
    132.32/197.66 = 131.72/x
  3. Step 3: Cross multiply
    132.32x = 197.66 × 131.72
  4. Step 4: Simplify right side
    132.32x = 26,034.13
  5. Step 5: Solve for x
    x = 26,034.13/132.32
  6. Step 6: Final answer
    x = 196.76

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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.