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Finding the Fourth Proportional to 197.12, 294.88 and 132.80

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Solution

The fourth proportional to 197.12, 294.88 and 132.80 is: 198.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.12 : 294.88 = 132.80 : x
  2. Step 2: Convert to fraction form
    197.12/294.88 = 132.80/x
  3. Step 3: Cross multiply
    197.12x = 294.88 × 132.80
  4. Step 4: Simplify right side
    197.12x = 39,160.06
  5. Step 5: Solve for x
    x = 39,160.06/197.12
  6. Step 6: Final answer
    x = 198.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.