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Finding the Fourth Proportional to 367.31, 550.94 and 213.14

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Solution

The fourth proportional to 367.31, 550.94 and 213.14 is: 319.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.31 : 550.94 = 213.14 : x
  2. Step 2: Convert to fraction form
    367.31/550.94 = 213.14/x
  3. Step 3: Cross multiply
    367.31x = 550.94 × 213.14
  4. Step 4: Simplify right side
    367.31x = 117,427.35
  5. Step 5: Solve for x
    x = 117,427.35/367.31
  6. Step 6: Final answer
    x = 319.70

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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.