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Finding the Fourth Proportional to 550.45, 824.97 and 225.43

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Solution

The fourth proportional to 550.45, 824.97 and 225.43 is: 337.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.45 : 824.97 = 225.43 : x
  2. Step 2: Convert to fraction form
    550.45/824.97 = 225.43/x
  3. Step 3: Cross multiply
    550.45x = 824.97 × 225.43
  4. Step 4: Simplify right side
    550.45x = 185,972.99
  5. Step 5: Solve for x
    x = 185,972.99/550.45
  6. Step 6: Final answer
    x = 337.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.