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Finding the Fourth Proportional to 87.98, 120.44 and 84.90

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Solution

The fourth proportional to 87.98, 120.44 and 84.90 is: 116.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.98 : 120.44 = 84.90 : x
  2. Step 2: Convert to fraction form
    87.98/120.44 = 84.90/x
  3. Step 3: Cross multiply
    87.98x = 120.44 × 84.90
  4. Step 4: Simplify right side
    87.98x = 10,224.93
  5. Step 5: Solve for x
    x = 10,224.93/87.98
  6. Step 6: Final answer
    x = 116.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.