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Finding the Fourth Proportional to 129.26, 192.79 and 121.16

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Solution

The fourth proportional to 129.26, 192.79 and 121.16 is: 180.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.26 : 192.79 = 121.16 : x
  2. Step 2: Convert to fraction form
    129.26/192.79 = 121.16/x
  3. Step 3: Cross multiply
    129.26x = 192.79 × 121.16
  4. Step 4: Simplify right side
    129.26x = 23,358.44
  5. Step 5: Solve for x
    x = 23,358.44/129.26
  6. Step 6: Final answer
    x = 180.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.