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Finding the Fourth Proportional to 327.05, 451.17 and 248.34

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Solution

The fourth proportional to 327.05, 451.17 and 248.34 is: 342.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.05 : 451.17 = 248.34 : x
  2. Step 2: Convert to fraction form
    327.05/451.17 = 248.34/x
  3. Step 3: Cross multiply
    327.05x = 451.17 × 248.34
  4. Step 4: Simplify right side
    327.05x = 112,043.56
  5. Step 5: Solve for x
    x = 112,043.56/327.05
  6. Step 6: Final answer
    x = 342.59

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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.