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Finding the Fourth Proportional to 129.64, 178.17 and 121.48

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Solution

The fourth proportional to 129.64, 178.17 and 121.48 is: 166.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.64 : 178.17 = 121.48 : x
  2. Step 2: Convert to fraction form
    129.64/178.17 = 121.48/x
  3. Step 3: Cross multiply
    129.64x = 178.17 × 121.48
  4. Step 4: Simplify right side
    129.64x = 21,644.09
  5. Step 5: Solve for x
    x = 21,644.09/129.64
  6. Step 6: Final answer
    x = 166.96

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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.