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Finding the Fourth Proportional to 227.43, 311.97 and 225.49

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Solution

The fourth proportional to 227.43, 311.97 and 225.49 is: 309.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.43 : 311.97 = 225.49 : x
  2. Step 2: Convert to fraction form
    227.43/311.97 = 225.49/x
  3. Step 3: Cross multiply
    227.43x = 311.97 × 225.49
  4. Step 4: Simplify right side
    227.43x = 70,343.43
  5. Step 5: Solve for x
    x = 70,343.43/227.43
  6. Step 6: Final answer
    x = 309.30

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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.