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Finding the Fourth Proportional to 98.92, 149.20 and 97.60

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Solution

The fourth proportional to 98.92, 149.20 and 97.60 is: 147.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.92 : 149.20 = 97.60 : x
  2. Step 2: Convert to fraction form
    98.92/149.20 = 97.60/x
  3. Step 3: Cross multiply
    98.92x = 149.20 × 97.60
  4. Step 4: Simplify right side
    98.92x = 14,561.92
  5. Step 5: Solve for x
    x = 14,561.92/98.92
  6. Step 6: Final answer
    x = 147.21

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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.