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Finding the Fourth Proportional to 196.42, 271.00 and 140.42

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Solution

The fourth proportional to 196.42, 271.00 and 140.42 is: 193.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.42 : 271.00 = 140.42 : x
  2. Step 2: Convert to fraction form
    196.42/271.00 = 140.42/x
  3. Step 3: Cross multiply
    196.42x = 271.00 × 140.42
  4. Step 4: Simplify right side
    196.42x = 38,052.87
  5. Step 5: Solve for x
    x = 38,052.87/196.42
  6. Step 6: Final answer
    x = 193.74

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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.