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Finding the Fourth Proportional to 197.50, 296.34 and 132.54

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Solution

The fourth proportional to 197.50, 296.34 and 132.54 is: 198.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.50 : 296.34 = 132.54 : x
  2. Step 2: Convert to fraction form
    197.50/296.34 = 132.54/x
  3. Step 3: Cross multiply
    197.50x = 296.34 × 132.54
  4. Step 4: Simplify right side
    197.50x = 39,276.90
  5. Step 5: Solve for x
    x = 39,276.90/197.50
  6. Step 6: Final answer
    x = 198.87

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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.