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Finding the Fourth Proportional to 550.26, 824.04 and 261

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Solution

The fourth proportional to 550.26, 824.04 and 261 is: 390.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.26 : 824.04 = 261 : x
  2. Step 2: Convert to fraction form
    550.26/824.04 = 261/x
  3. Step 3: Cross multiply
    550.26x = 824.04 × 261
  4. Step 4: Simplify right side
    550.26x = 215,074.44
  5. Step 5: Solve for x
    x = 215,074.44/550.26
  6. Step 6: Final answer
    x = 390.86

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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.