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Finding the Fourth Proportional to 229.27, 316.09 and 226.21

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Solution

The fourth proportional to 229.27, 316.09 and 226.21 is: 311.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.27 : 316.09 = 226.21 : x
  2. Step 2: Convert to fraction form
    229.27/316.09 = 226.21/x
  3. Step 3: Cross multiply
    229.27x = 316.09 × 226.21
  4. Step 4: Simplify right side
    229.27x = 71,502.72
  5. Step 5: Solve for x
    x = 71,502.72/229.27
  6. Step 6: Final answer
    x = 311.87

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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.