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Finding the Fourth Proportional to 96.20, 144.38 and 50.56

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Solution

The fourth proportional to 96.20, 144.38 and 50.56 is: 75.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.20 : 144.38 = 50.56 : x
  2. Step 2: Convert to fraction form
    96.20/144.38 = 50.56/x
  3. Step 3: Cross multiply
    96.20x = 144.38 × 50.56
  4. Step 4: Simplify right side
    96.20x = 7,299.60
  5. Step 5: Solve for x
    x = 7,299.60/96.20
  6. Step 6: Final answer
    x = 75.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.