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Finding the Fourth Proportional to 227.54, 311.95 and 223.44

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Solution

The fourth proportional to 227.54, 311.95 and 223.44 is: 306.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.54 : 311.95 = 223.44 : x
  2. Step 2: Convert to fraction form
    227.54/311.95 = 223.44/x
  3. Step 3: Cross multiply
    227.54x = 311.95 × 223.44
  4. Step 4: Simplify right side
    227.54x = 69,700.55
  5. Step 5: Solve for x
    x = 69,700.55/227.54
  6. Step 6: Final answer
    x = 306.33

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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.