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Finding the Fourth Proportional to 121.22, 166.81 and 117.66

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Solution

The fourth proportional to 121.22, 166.81 and 117.66 is: 161.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.22 : 166.81 = 117.66 : x
  2. Step 2: Convert to fraction form
    121.22/166.81 = 117.66/x
  3. Step 3: Cross multiply
    121.22x = 166.81 × 117.66
  4. Step 4: Simplify right side
    121.22x = 19,626.86
  5. Step 5: Solve for x
    x = 19,626.86/121.22
  6. Step 6: Final answer
    x = 161.91

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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.