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Finding the Fourth Proportional to 664.24, 996.09 and 225.37

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Solution

The fourth proportional to 664.24, 996.09 and 225.37 is: 337.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.24 : 996.09 = 225.37 : x
  2. Step 2: Convert to fraction form
    664.24/996.09 = 225.37/x
  3. Step 3: Cross multiply
    664.24x = 996.09 × 225.37
  4. Step 4: Simplify right side
    664.24x = 224,488.80
  5. Step 5: Solve for x
    x = 224,488.80/664.24
  6. Step 6: Final answer
    x = 337.96

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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.