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Finding the Fourth Proportional to 197.62, 271.98 and 142.26

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Solution

The fourth proportional to 197.62, 271.98 and 142.26 is: 195.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.62 : 271.98 = 142.26 : x
  2. Step 2: Convert to fraction form
    197.62/271.98 = 142.26/x
  3. Step 3: Cross multiply
    197.62x = 271.98 × 142.26
  4. Step 4: Simplify right side
    197.62x = 38,691.87
  5. Step 5: Solve for x
    x = 38,691.87/197.62
  6. Step 6: Final answer
    x = 195.79

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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.