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Finding the Fourth Proportional to 196.78, 270.97 and 141.42

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Solution

The fourth proportional to 196.78, 270.97 and 141.42 is: 194.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.78 : 270.97 = 141.42 : x
  2. Step 2: Convert to fraction form
    196.78/270.97 = 141.42/x
  3. Step 3: Cross multiply
    196.78x = 270.97 × 141.42
  4. Step 4: Simplify right side
    196.78x = 38,320.58
  5. Step 5: Solve for x
    x = 38,320.58/196.78
  6. Step 6: Final answer
    x = 194.74

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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.