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Finding the Fourth Proportional to 327.05, 451.09 and 208.90

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Solution

The fourth proportional to 327.05, 451.09 and 208.90 is: 288.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.05 : 451.09 = 208.90 : x
  2. Step 2: Convert to fraction form
    327.05/451.09 = 208.90/x
  3. Step 3: Cross multiply
    327.05x = 451.09 × 208.90
  4. Step 4: Simplify right side
    327.05x = 94,231.58
  5. Step 5: Solve for x
    x = 94,231.58/327.05
  6. Step 6: Final answer
    x = 288.13

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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.