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Finding the Fourth Proportional to 197.66, 296.60 and 132.50

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Solution

The fourth proportional to 197.66, 296.60 and 132.50 is: 198.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.66 : 296.60 = 132.50 : x
  2. Step 2: Convert to fraction form
    197.66/296.60 = 132.50/x
  3. Step 3: Cross multiply
    197.66x = 296.60 × 132.50
  4. Step 4: Simplify right side
    197.66x = 39,298.84
  5. Step 5: Solve for x
    x = 39,298.84/197.66
  6. Step 6: Final answer
    x = 198.82

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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.