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Finding the Fourth Proportional to 121.98, 168.25 and 97.48

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Solution

The fourth proportional to 121.98, 168.25 and 97.48 is: 134.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.98 : 168.25 = 97.48 : x
  2. Step 2: Convert to fraction form
    121.98/168.25 = 97.48/x
  3. Step 3: Cross multiply
    121.98x = 168.25 × 97.48
  4. Step 4: Simplify right side
    121.98x = 16,401.01
  5. Step 5: Solve for x
    x = 16,401.01/121.98
  6. Step 6: Final answer
    x = 134.46

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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.