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Finding the Fourth Proportional to 197.60, 296.17 and 82.00

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Solution

The fourth proportional to 197.60, 296.17 and 82.00 is: 122.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.60 : 296.17 = 82.00 : x
  2. Step 2: Convert to fraction form
    197.60/296.17 = 82.00/x
  3. Step 3: Cross multiply
    197.60x = 296.17 × 82.00
  4. Step 4: Simplify right side
    197.60x = 24,286.57
  5. Step 5: Solve for x
    x = 24,286.57/197.60
  6. Step 6: Final answer
    x = 122.91

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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.