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Finding the Fourth Proportional to 366.80, 506.12 and 219.44

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Solution

The fourth proportional to 366.80, 506.12 and 219.44 is: 302.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.80 : 506.12 = 219.44 : x
  2. Step 2: Convert to fraction form
    366.80/506.12 = 219.44/x
  3. Step 3: Cross multiply
    366.80x = 506.12 × 219.44
  4. Step 4: Simplify right side
    366.80x = 111,062.97
  5. Step 5: Solve for x
    x = 111,062.97/366.80
  6. Step 6: Final answer
    x = 302.79

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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.