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Finding the Fourth Proportional to 197.98, 295.70 and 132.42

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Solution

The fourth proportional to 197.98, 295.70 and 132.42 is: 197.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.98 : 295.70 = 132.42 : x
  2. Step 2: Convert to fraction form
    197.98/295.70 = 132.42/x
  3. Step 3: Cross multiply
    197.98x = 295.70 × 132.42
  4. Step 4: Simplify right side
    197.98x = 39,156.59
  5. Step 5: Solve for x
    x = 39,156.59/197.98
  6. Step 6: Final answer
    x = 197.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.