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Finding the Fourth Proportional to 327.27, 451.01 and 257.16

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Solution

The fourth proportional to 327.27, 451.01 and 257.16 is: 354.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.27 : 451.01 = 257.16 : x
  2. Step 2: Convert to fraction form
    327.27/451.01 = 257.16/x
  3. Step 3: Cross multiply
    327.27x = 451.01 × 257.16
  4. Step 4: Simplify right side
    327.27x = 115,981.73
  5. Step 5: Solve for x
    x = 115,981.73/327.27
  6. Step 6: Final answer
    x = 354.39

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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.