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Finding the Fourth Proportional to 227.43, 311.82 and 223.32

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Solution

The fourth proportional to 227.43, 311.82 and 223.32 is: 306.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.43 : 311.82 = 223.32 : x
  2. Step 2: Convert to fraction form
    227.43/311.82 = 223.32/x
  3. Step 3: Cross multiply
    227.43x = 311.82 × 223.32
  4. Step 4: Simplify right side
    227.43x = 69,635.64
  5. Step 5: Solve for x
    x = 69,635.64/227.43
  6. Step 6: Final answer
    x = 306.18

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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.