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Finding the Fourth Proportional to 349.03, 481.61 and 209.12

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Solution

The fourth proportional to 349.03, 481.61 and 209.12 is: 288.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.03 : 481.61 = 209.12 : x
  2. Step 2: Convert to fraction form
    349.03/481.61 = 209.12/x
  3. Step 3: Cross multiply
    349.03x = 481.61 × 209.12
  4. Step 4: Simplify right side
    349.03x = 100,714.28
  5. Step 5: Solve for x
    x = 100,714.28/349.03
  6. Step 6: Final answer
    x = 288.55

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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.