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Finding the Fourth Proportional to 197.78, 296.62 and 67.76

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Solution

The fourth proportional to 197.78, 296.62 and 67.76 is: 101.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.78 : 296.62 = 67.76 : x
  2. Step 2: Convert to fraction form
    197.78/296.62 = 67.76/x
  3. Step 3: Cross multiply
    197.78x = 296.62 × 67.76
  4. Step 4: Simplify right side
    197.78x = 20,098.97
  5. Step 5: Solve for x
    x = 20,098.97/197.78
  6. Step 6: Final answer
    x = 101.62

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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.