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Finding the Fourth Proportional to 196.27, 270.20 and 133.97

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Solution

The fourth proportional to 196.27, 270.20 and 133.97 is: 184.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.27 : 270.20 = 133.97 : x
  2. Step 2: Convert to fraction form
    196.27/270.20 = 133.97/x
  3. Step 3: Cross multiply
    196.27x = 270.20 × 133.97
  4. Step 4: Simplify right side
    196.27x = 36,197.68
  5. Step 5: Solve for x
    x = 36,197.68/196.27
  6. Step 6: Final answer
    x = 184.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.