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Finding the Fourth Proportional to 99.20, 149.60 and 93.20

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Solution

The fourth proportional to 99.20, 149.60 and 93.20 is: 140.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.20 : 149.60 = 93.20 : x
  2. Step 2: Convert to fraction form
    99.20/149.60 = 93.20/x
  3. Step 3: Cross multiply
    99.20x = 149.60 × 93.20
  4. Step 4: Simplify right side
    99.20x = 13,942.72
  5. Step 5: Solve for x
    x = 13,942.72/99.20
  6. Step 6: Final answer
    x = 140.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.