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Finding the Fourth Proportional to 226.68, 310.94 and 224.73

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Solution

The fourth proportional to 226.68, 310.94 and 224.73 is: 308.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.68 : 310.94 = 224.73 : x
  2. Step 2: Convert to fraction form
    226.68/310.94 = 224.73/x
  3. Step 3: Cross multiply
    226.68x = 310.94 × 224.73
  4. Step 4: Simplify right side
    226.68x = 69,877.76
  5. Step 5: Solve for x
    x = 69,877.76/226.68
  6. Step 6: Final answer
    x = 308.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.