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Finding the Fourth Proportional to 367.21, 506.73 and 209.80

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Solution

The fourth proportional to 367.21, 506.73 and 209.80 is: 289.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.21 : 506.73 = 209.80 : x
  2. Step 2: Convert to fraction form
    367.21/506.73 = 209.80/x
  3. Step 3: Cross multiply
    367.21x = 506.73 × 209.80
  4. Step 4: Simplify right side
    367.21x = 106,311.95
  5. Step 5: Solve for x
    x = 106,311.95/367.21
  6. Step 6: Final answer
    x = 289.51

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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.