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Finding the Fourth Proportional to 96.76, 144.21 and 94.20

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Solution

The fourth proportional to 96.76, 144.21 and 94.20 is: 140.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.76 : 144.21 = 94.20 : x
  2. Step 2: Convert to fraction form
    96.76/144.21 = 94.20/x
  3. Step 3: Cross multiply
    96.76x = 144.21 × 94.20
  4. Step 4: Simplify right side
    96.76x = 13,584.58
  5. Step 5: Solve for x
    x = 13,584.58/96.76
  6. Step 6: Final answer
    x = 140.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.