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Finding the Fourth Proportional to 442.88, 663.91 and 225.98

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Solution

The fourth proportional to 442.88, 663.91 and 225.98 is: 338.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.88 : 663.91 = 225.98 : x
  2. Step 2: Convert to fraction form
    442.88/663.91 = 225.98/x
  3. Step 3: Cross multiply
    442.88x = 663.91 × 225.98
  4. Step 4: Simplify right side
    442.88x = 150,030.38
  5. Step 5: Solve for x
    x = 150,030.38/442.88
  6. Step 6: Final answer
    x = 338.76

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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.