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Finding the Fourth Proportional to 327.10, 451.38 and 209.11

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Solution

The fourth proportional to 327.10, 451.38 and 209.11 is: 288.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.10 : 451.38 = 209.11 : x
  2. Step 2: Convert to fraction form
    327.10/451.38 = 209.11/x
  3. Step 3: Cross multiply
    327.10x = 451.38 × 209.11
  4. Step 4: Simplify right side
    327.10x = 94,388.07
  5. Step 5: Solve for x
    x = 94,388.07/327.10
  6. Step 6: Final answer
    x = 288.56

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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.