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Finding the Fourth Proportional to 226.10, 340.28 and 203.73

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Solution

The fourth proportional to 226.10, 340.28 and 203.73 is: 306.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.10 : 340.28 = 203.73 : x
  2. Step 2: Convert to fraction form
    226.10/340.28 = 203.73/x
  3. Step 3: Cross multiply
    226.10x = 340.28 × 203.73
  4. Step 4: Simplify right side
    226.10x = 69,324.23
  5. Step 5: Solve for x
    x = 69,324.23/226.10
  6. Step 6: Final answer
    x = 306.62

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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.