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Finding the Fourth Proportional to 196.82, 271.22 and 140.65

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Solution

The fourth proportional to 196.82, 271.22 and 140.65 is: 193.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.82 : 271.22 = 140.65 : x
  2. Step 2: Convert to fraction form
    196.82/271.22 = 140.65/x
  3. Step 3: Cross multiply
    196.82x = 271.22 × 140.65
  4. Step 4: Simplify right side
    196.82x = 38,147.28
  5. Step 5: Solve for x
    x = 38,147.28/196.82
  6. Step 6: Final answer
    x = 193.81

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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.