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Finding the Fourth Proportional to 278.75, 418.20 and 227.88

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Solution

The fourth proportional to 278.75, 418.20 and 227.88 is: 341.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.75 : 418.20 = 227.88 : x
  2. Step 2: Convert to fraction form
    278.75/418.20 = 227.88/x
  3. Step 3: Cross multiply
    278.75x = 418.20 × 227.88
  4. Step 4: Simplify right side
    278.75x = 95,299.42
  5. Step 5: Solve for x
    x = 95,299.42/278.75
  6. Step 6: Final answer
    x = 341.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.