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Finding the Fourth Proportional to 664.35, 996.67 and 225.57

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Solution

The fourth proportional to 664.35, 996.67 and 225.57 is: 338.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.35 : 996.67 = 225.57 : x
  2. Step 2: Convert to fraction form
    664.35/996.67 = 225.57/x
  3. Step 3: Cross multiply
    664.35x = 996.67 × 225.57
  4. Step 4: Simplify right side
    664.35x = 224,818.85
  5. Step 5: Solve for x
    x = 224,818.85/664.35
  6. Step 6: Final answer
    x = 338.41

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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.