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Finding the Fourth Proportional to 367, 550.39 and 213.23

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Solution

The fourth proportional to 367, 550.39 and 213.23 is: 319.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    367 : 550.39 = 213.23 : x
  2. Step 2: Convert to fraction form
    367/550.39 = 213.23/x
  3. Step 3: Cross multiply
    367x = 550.39 × 213.23
  4. Step 4: Simplify right side
    367x = 117,355.84
  5. Step 5: Solve for x
    x = 117,355.84/367
  6. Step 6: Final answer
    x = 319.77

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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.