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Finding the Fourth Proportional to 197.72, 296.53 and 75.95

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Solution

The fourth proportional to 197.72, 296.53 and 75.95 is: 113.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.72 : 296.53 = 75.95 : x
  2. Step 2: Convert to fraction form
    197.72/296.53 = 75.95/x
  3. Step 3: Cross multiply
    197.72x = 296.53 × 75.95
  4. Step 4: Simplify right side
    197.72x = 22,519.78
  5. Step 5: Solve for x
    x = 22,519.78/197.72
  6. Step 6: Final answer
    x = 113.90

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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.