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Finding the Fourth Proportional to 442.07, 663.11 and 225.80

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Solution

The fourth proportional to 442.07, 663.11 and 225.80 is: 338.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.07 : 663.11 = 225.80 : x
  2. Step 2: Convert to fraction form
    442.07/663.11 = 225.80/x
  3. Step 3: Cross multiply
    442.07x = 663.11 × 225.80
  4. Step 4: Simplify right side
    442.07x = 149,732.46
  5. Step 5: Solve for x
    x = 149,732.46/442.07
  6. Step 6: Final answer
    x = 338.71

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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.