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Finding the Fourth Proportional to 226.21, 312.20 and 127.97

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Solution

The fourth proportional to 226.21, 312.20 and 127.97 is: 176.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.21 : 312.20 = 127.97 : x
  2. Step 2: Convert to fraction form
    226.21/312.20 = 127.97/x
  3. Step 3: Cross multiply
    226.21x = 312.20 × 127.97
  4. Step 4: Simplify right side
    226.21x = 39,951.68
  5. Step 5: Solve for x
    x = 39,951.68/226.21
  6. Step 6: Final answer
    x = 176.61

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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.