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Finding the Fourth Proportional to 327.29, 452.21 and 257.50

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Solution

The fourth proportional to 327.29, 452.21 and 257.50 is: 355.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.29 : 452.21 = 257.50 : x
  2. Step 2: Convert to fraction form
    327.29/452.21 = 257.50/x
  3. Step 3: Cross multiply
    327.29x = 452.21 × 257.50
  4. Step 4: Simplify right side
    327.29x = 116,443.59
  5. Step 5: Solve for x
    x = 116,443.59/327.29
  6. Step 6: Final answer
    x = 355.78

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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.