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Finding the Fourth Proportional to 550.10, 824.43 and 225.29

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Solution

The fourth proportional to 550.10, 824.43 and 225.29 is: 337.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.10 : 824.43 = 225.29 : x
  2. Step 2: Convert to fraction form
    550.10/824.43 = 225.29/x
  3. Step 3: Cross multiply
    550.10x = 824.43 × 225.29
  4. Step 4: Simplify right side
    550.10x = 185,738.74
  5. Step 5: Solve for x
    x = 185,738.74/550.10
  6. Step 6: Final answer
    x = 337.64

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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.