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Finding the Fourth Proportional to 367.39, 550.60 and 213.40

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Solution

The fourth proportional to 367.39, 550.60 and 213.40 is: 319.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.39 : 550.60 = 213.40 : x
  2. Step 2: Convert to fraction form
    367.39/550.60 = 213.40/x
  3. Step 3: Cross multiply
    367.39x = 550.60 × 213.40
  4. Step 4: Simplify right side
    367.39x = 117,498.04
  5. Step 5: Solve for x
    x = 117,498.04/367.39
  6. Step 6: Final answer
    x = 319.82

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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.