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Finding the Fourth Proportional to 99.20, 147.46 and 96.29

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Solution

The fourth proportional to 99.20, 147.46 and 96.29 is: 143.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.20 : 147.46 = 96.29 : x
  2. Step 2: Convert to fraction form
    99.20/147.46 = 96.29/x
  3. Step 3: Cross multiply
    99.20x = 147.46 × 96.29
  4. Step 4: Simplify right side
    99.20x = 14,198.19
  5. Step 5: Solve for x
    x = 14,198.19/99.20
  6. Step 6: Final answer
    x = 143.13

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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.