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Finding the Fourth Proportional to 399.26, 550.33 and 300.85

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Solution

The fourth proportional to 399.26, 550.33 and 300.85 is: 414.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.26 : 550.33 = 300.85 : x
  2. Step 2: Convert to fraction form
    399.26/550.33 = 300.85/x
  3. Step 3: Cross multiply
    399.26x = 550.33 × 300.85
  4. Step 4: Simplify right side
    399.26x = 165,566.34
  5. Step 5: Solve for x
    x = 165,566.34/399.26
  6. Step 6: Final answer
    x = 414.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.