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Finding the Fourth Proportional to 349.10, 481.79 and 209.20

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Solution

The fourth proportional to 349.10, 481.79 and 209.20 is: 288.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.10 : 481.79 = 209.20 : x
  2. Step 2: Convert to fraction form
    349.10/481.79 = 209.20/x
  3. Step 3: Cross multiply
    349.10x = 481.79 × 209.20
  4. Step 4: Simplify right side
    349.10x = 100,789.79
  5. Step 5: Solve for x
    x = 100,789.79/349.10
  6. Step 6: Final answer
    x = 288.71

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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.