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Finding the Fourth Proportional to 143.75, 197.29 and 129.91

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Solution

The fourth proportional to 143.75, 197.29 and 129.91 is: 178.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.75 : 197.29 = 129.91 : x
  2. Step 2: Convert to fraction form
    143.75/197.29 = 129.91/x
  3. Step 3: Cross multiply
    143.75x = 197.29 × 129.91
  4. Step 4: Simplify right side
    143.75x = 25,629.39
  5. Step 5: Solve for x
    x = 25,629.39/143.75
  6. Step 6: Final answer
    x = 178.29

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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.