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Finding the Fourth Proportional to 367.31, 506.81 and 209.92

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Solution

The fourth proportional to 367.31, 506.81 and 209.92 is: 289.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.31 : 506.81 = 209.92 : x
  2. Step 2: Convert to fraction form
    367.31/506.81 = 209.92/x
  3. Step 3: Cross multiply
    367.31x = 506.81 × 209.92
  4. Step 4: Simplify right side
    367.31x = 106,389.56
  5. Step 5: Solve for x
    x = 106,389.56/367.31
  6. Step 6: Final answer
    x = 289.65

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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.