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Finding the Fourth Proportional to 367.26, 550.28 and 258.83

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Solution

The fourth proportional to 367.26, 550.28 and 258.83 is: 387.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.26 : 550.28 = 258.83 : x
  2. Step 2: Convert to fraction form
    367.26/550.28 = 258.83/x
  3. Step 3: Cross multiply
    367.26x = 550.28 × 258.83
  4. Step 4: Simplify right side
    367.26x = 142,428.97
  5. Step 5: Solve for x
    x = 142,428.97/367.26
  6. Step 6: Final answer
    x = 387.82

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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.