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Finding the Fourth Proportional to 121.98, 168.02 and 115.80

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Solution

The fourth proportional to 121.98, 168.02 and 115.80 is: 159.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.98 : 168.02 = 115.80 : x
  2. Step 2: Convert to fraction form
    121.98/168.02 = 115.80/x
  3. Step 3: Cross multiply
    121.98x = 168.02 × 115.80
  4. Step 4: Simplify right side
    121.98x = 19,456.14
  5. Step 5: Solve for x
    x = 19,456.14/121.98
  6. Step 6: Final answer
    x = 159.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.