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Finding the Fourth Proportional to 349.19, 481.85 and 209.28

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Solution

The fourth proportional to 349.19, 481.85 and 209.28 is: 288.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.19 : 481.85 = 209.28 : x
  2. Step 2: Convert to fraction form
    349.19/481.85 = 209.28/x
  3. Step 3: Cross multiply
    349.19x = 481.85 × 209.28
  4. Step 4: Simplify right side
    349.19x = 100,843.90
  5. Step 5: Solve for x
    x = 100,843.90/349.19
  6. Step 6: Final answer
    x = 288.79

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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.