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Finding the Fourth Proportional to 227.24, 311.08 and 226.48

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Solution

The fourth proportional to 227.24, 311.08 and 226.48 is: 310.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.24 : 311.08 = 226.48 : x
  2. Step 2: Convert to fraction form
    227.24/311.08 = 226.48/x
  3. Step 3: Cross multiply
    227.24x = 311.08 × 226.48
  4. Step 4: Simplify right side
    227.24x = 70,453.40
  5. Step 5: Solve for x
    x = 70,453.40/227.24
  6. Step 6: Final answer
    x = 310.04

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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.