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Finding the Fourth Proportional to 197.72, 296.91 and 129.38

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Solution

The fourth proportional to 197.72, 296.91 and 129.38 is: 194.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.72 : 296.91 = 129.38 : x
  2. Step 2: Convert to fraction form
    197.72/296.91 = 129.38/x
  3. Step 3: Cross multiply
    197.72x = 296.91 × 129.38
  4. Step 4: Simplify right side
    197.72x = 38,412.73
  5. Step 5: Solve for x
    x = 38,412.73/197.72
  6. Step 6: Final answer
    x = 194.28

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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.