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Finding the Fourth Proportional to 98.98, 149.02 and 85.75

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Solution

The fourth proportional to 98.98, 149.02 and 85.75 is: 129.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.98 : 149.02 = 85.75 : x
  2. Step 2: Convert to fraction form
    98.98/149.02 = 85.75/x
  3. Step 3: Cross multiply
    98.98x = 149.02 × 85.75
  4. Step 4: Simplify right side
    98.98x = 12,778.47
  5. Step 5: Solve for x
    x = 12,778.47/98.98
  6. Step 6: Final answer
    x = 129.10

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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.