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Finding the Fourth Proportional to 121.60, 166.97 and 116.20

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Solution

The fourth proportional to 121.60, 166.97 and 116.20 is: 159.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.60 : 166.97 = 116.20 : x
  2. Step 2: Convert to fraction form
    121.60/166.97 = 116.20/x
  3. Step 3: Cross multiply
    121.60x = 166.97 × 116.20
  4. Step 4: Simplify right side
    121.60x = 19,401.91
  5. Step 5: Solve for x
    x = 19,401.91/121.60
  6. Step 6: Final answer
    x = 159.56

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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.