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Finding the Fourth Proportional to 197.61, 296.22 and 75.78

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Solution

The fourth proportional to 197.61, 296.22 and 75.78 is: 113.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.61 : 296.22 = 75.78 : x
  2. Step 2: Convert to fraction form
    197.61/296.22 = 75.78/x
  3. Step 3: Cross multiply
    197.61x = 296.22 × 75.78
  4. Step 4: Simplify right side
    197.61x = 22,447.55
  5. Step 5: Solve for x
    x = 22,447.55/197.61
  6. Step 6: Final answer
    x = 113.60

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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.