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Finding the Fourth Proportional to 96.20, 144.14 and 44.78

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Solution

The fourth proportional to 96.20, 144.14 and 44.78 is: 67.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.20 : 144.14 = 44.78 : x
  2. Step 2: Convert to fraction form
    96.20/144.14 = 44.78/x
  3. Step 3: Cross multiply
    96.20x = 144.14 × 44.78
  4. Step 4: Simplify right side
    96.20x = 6,454.59
  5. Step 5: Solve for x
    x = 6,454.59/96.20
  6. Step 6: Final answer
    x = 67.10

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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.