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Finding the Fourth Proportional to 227.25, 311.54 and 215.10

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Solution

The fourth proportional to 227.25, 311.54 and 215.10 is: 294.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.25 : 311.54 = 215.10 : x
  2. Step 2: Convert to fraction form
    227.25/311.54 = 215.10/x
  3. Step 3: Cross multiply
    227.25x = 311.54 × 215.10
  4. Step 4: Simplify right side
    227.25x = 67,011.18
  5. Step 5: Solve for x
    x = 67,011.18/227.25
  6. Step 6: Final answer
    x = 294.88

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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.