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Finding the Fourth Proportional to 146.26, 201.39 and 127.73

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Solution

The fourth proportional to 146.26, 201.39 and 127.73 is: 175.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.26 : 201.39 = 127.73 : x
  2. Step 2: Convert to fraction form
    146.26/201.39 = 127.73/x
  3. Step 3: Cross multiply
    146.26x = 201.39 × 127.73
  4. Step 4: Simplify right side
    146.26x = 25,722.44
  5. Step 5: Solve for x
    x = 25,722.44/146.26
  6. Step 6: Final answer
    x = 175.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.