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Finding the Fourth Proportional to 196.87, 271.66 and 113.97

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Solution

The fourth proportional to 196.87, 271.66 and 113.97 is: 157.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.87 : 271.66 = 113.97 : x
  2. Step 2: Convert to fraction form
    196.87/271.66 = 113.97/x
  3. Step 3: Cross multiply
    196.87x = 271.66 × 113.97
  4. Step 4: Simplify right side
    196.87x = 30,961.09
  5. Step 5: Solve for x
    x = 30,961.09/196.87
  6. Step 6: Final answer
    x = 157.27

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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.