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Finding the Fourth Proportional to 196.39, 271.20 and 126.57

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Solution

The fourth proportional to 196.39, 271.20 and 126.57 is: 174.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.39 : 271.20 = 126.57 : x
  2. Step 2: Convert to fraction form
    196.39/271.20 = 126.57/x
  3. Step 3: Cross multiply
    196.39x = 271.20 × 126.57
  4. Step 4: Simplify right side
    196.39x = 34,325.78
  5. Step 5: Solve for x
    x = 34,325.78/196.39
  6. Step 6: Final answer
    x = 174.78

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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.