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Finding the Fourth Proportional to 121.57, 166.65 and 115.69

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Solution

The fourth proportional to 121.57, 166.65 and 115.69 is: 158.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.57 : 166.65 = 115.69 : x
  2. Step 2: Convert to fraction form
    121.57/166.65 = 115.69/x
  3. Step 3: Cross multiply
    121.57x = 166.65 × 115.69
  4. Step 4: Simplify right side
    121.57x = 19,279.74
  5. Step 5: Solve for x
    x = 19,279.74/121.57
  6. Step 6: Final answer
    x = 158.59

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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.