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Finding the Fourth Proportional to 367.30, 506.82 and 219.91

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Solution

The fourth proportional to 367.30, 506.82 and 219.91 is: 303.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.30 : 506.82 = 219.91 : x
  2. Step 2: Convert to fraction form
    367.30/506.82 = 219.91/x
  3. Step 3: Cross multiply
    367.30x = 506.82 × 219.91
  4. Step 4: Simplify right side
    367.30x = 111,452.25
  5. Step 5: Solve for x
    x = 111,452.25/367.30
  6. Step 6: Final answer
    x = 303.44

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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.