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Finding the Fourth Proportional to 132.20, 182.20 and 113.70

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Solution

The fourth proportional to 132.20, 182.20 and 113.70 is: 156.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.20 : 182.20 = 113.70 : x
  2. Step 2: Convert to fraction form
    132.20/182.20 = 113.70/x
  3. Step 3: Cross multiply
    132.20x = 182.20 × 113.70
  4. Step 4: Simplify right side
    132.20x = 20,716.14
  5. Step 5: Solve for x
    x = 20,716.14/132.20
  6. Step 6: Final answer
    x = 156.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.