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Finding the Fourth Proportional to 551.80, 827.76 and 227.12

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Solution

The fourth proportional to 551.80, 827.76 and 227.12 is: 340.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.80 : 827.76 = 227.12 : x
  2. Step 2: Convert to fraction form
    551.80/827.76 = 227.12/x
  3. Step 3: Cross multiply
    551.80x = 827.76 × 227.12
  4. Step 4: Simplify right side
    551.80x = 188,000.85
  5. Step 5: Solve for x
    x = 188,000.85/551.80
  6. Step 6: Final answer
    x = 340.70

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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.