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Finding the Fourth Proportional to 349.31, 481.93 and 209.48

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Solution

The fourth proportional to 349.31, 481.93 and 209.48 is: 289.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.31 : 481.93 = 209.48 : x
  2. Step 2: Convert to fraction form
    349.31/481.93 = 209.48/x
  3. Step 3: Cross multiply
    349.31x = 481.93 × 209.48
  4. Step 4: Simplify right side
    349.31x = 100,951.76
  5. Step 5: Solve for x
    x = 100,951.76/349.31
  6. Step 6: Final answer
    x = 289.00

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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.