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Finding the Fourth Proportional to 99.20, 147.96 and 94.04

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Solution

The fourth proportional to 99.20, 147.96 and 94.04 is: 140.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.20 : 147.96 = 94.04 : x
  2. Step 2: Convert to fraction form
    99.20/147.96 = 94.04/x
  3. Step 3: Cross multiply
    99.20x = 147.96 × 94.04
  4. Step 4: Simplify right side
    99.20x = 13,914.16
  5. Step 5: Solve for x
    x = 13,914.16/99.20
  6. Step 6: Final answer
    x = 140.26

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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.