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Finding the Fourth Proportional to 129.97, 196.43 and 127.73

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Solution

The fourth proportional to 129.97, 196.43 and 127.73 is: 193.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.97 : 196.43 = 127.73 : x
  2. Step 2: Convert to fraction form
    129.97/196.43 = 127.73/x
  3. Step 3: Cross multiply
    129.97x = 196.43 × 127.73
  4. Step 4: Simplify right side
    129.97x = 25,090.00
  5. Step 5: Solve for x
    x = 25,090.00/129.97
  6. Step 6: Final answer
    x = 193.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.