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Finding the Fourth Proportional to 132.11, 197.98 and 50.86

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Solution

The fourth proportional to 132.11, 197.98 and 50.86 is: 76.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.11 : 197.98 = 50.86 : x
  2. Step 2: Convert to fraction form
    132.11/197.98 = 50.86/x
  3. Step 3: Cross multiply
    132.11x = 197.98 × 50.86
  4. Step 4: Simplify right side
    132.11x = 10,068.64
  5. Step 5: Solve for x
    x = 10,068.64/132.11
  6. Step 6: Final answer
    x = 76.21

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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.