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Finding the Fourth Proportional to 197.35, 296.02 and 81.76

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Solution

The fourth proportional to 197.35, 296.02 and 81.76 is: 122.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.35 : 296.02 = 81.76 : x
  2. Step 2: Convert to fraction form
    197.35/296.02 = 81.76/x
  3. Step 3: Cross multiply
    197.35x = 296.02 × 81.76
  4. Step 4: Simplify right side
    197.35x = 24,203.13
  5. Step 5: Solve for x
    x = 24,203.13/197.35
  6. Step 6: Final answer
    x = 122.64

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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.