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Finding the Fourth Proportional to 197.01, 295.25 and 132.75

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Solution

The fourth proportional to 197.01, 295.25 and 132.75 is: 198.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.01 : 295.25 = 132.75 : x
  2. Step 2: Convert to fraction form
    197.01/295.25 = 132.75/x
  3. Step 3: Cross multiply
    197.01x = 295.25 × 132.75
  4. Step 4: Simplify right side
    197.01x = 39,193.77
  5. Step 5: Solve for x
    x = 39,193.77/197.01
  6. Step 6: Final answer
    x = 198.94

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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.