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Finding the Fourth Proportional to 610.27, 914.85 and 225.43

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Solution

The fourth proportional to 610.27, 914.85 and 225.43 is: 337.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.27 : 914.85 = 225.43 : x
  2. Step 2: Convert to fraction form
    610.27/914.85 = 225.43/x
  3. Step 3: Cross multiply
    610.27x = 914.85 × 225.43
  4. Step 4: Simplify right side
    610.27x = 206,234.64
  5. Step 5: Solve for x
    x = 206,234.64/610.27
  6. Step 6: Final answer
    x = 337.94

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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.