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Finding the Fourth Proportional to 197.48, 269.12 and 196.76

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Solution

The fourth proportional to 197.48, 269.12 and 196.76 is: 268.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.48 : 269.12 = 196.76 : x
  2. Step 2: Convert to fraction form
    197.48/269.12 = 196.76/x
  3. Step 3: Cross multiply
    197.48x = 269.12 × 196.76
  4. Step 4: Simplify right side
    197.48x = 52,952.05
  5. Step 5: Solve for x
    x = 52,952.05/197.48
  6. Step 6: Final answer
    x = 268.14

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.