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Finding the Fourth Proportional to 227.97, 340.28 and 208.73

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Solution

The fourth proportional to 227.97, 340.28 and 208.73 is: 311.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.97 : 340.28 = 208.73 : x
  2. Step 2: Convert to fraction form
    227.97/340.28 = 208.73/x
  3. Step 3: Cross multiply
    227.97x = 340.28 × 208.73
  4. Step 4: Simplify right side
    227.97x = 71,027.23
  5. Step 5: Solve for x
    x = 71,027.23/227.97
  6. Step 6: Final answer
    x = 311.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.