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Finding the Fourth Proportional to 129.40, 177.73 and 121.37

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Solution

The fourth proportional to 129.40, 177.73 and 121.37 is: 166.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.40 : 177.73 = 121.37 : x
  2. Step 2: Convert to fraction form
    129.40/177.73 = 121.37/x
  3. Step 3: Cross multiply
    129.40x = 177.73 × 121.37
  4. Step 4: Simplify right side
    129.40x = 21,569.90
  5. Step 5: Solve for x
    x = 21,569.90/129.40
  6. Step 6: Final answer
    x = 166.69

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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.