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Finding the Fourth Proportional to 327.92, 452.08 and 257.70

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Solution

The fourth proportional to 327.92, 452.08 and 257.70 is: 355.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.92 : 452.08 = 257.70 : x
  2. Step 2: Convert to fraction form
    327.92/452.08 = 257.70/x
  3. Step 3: Cross multiply
    327.92x = 452.08 × 257.70
  4. Step 4: Simplify right side
    327.92x = 116,501.02
  5. Step 5: Solve for x
    x = 116,501.02/327.92
  6. Step 6: Final answer
    x = 355.27

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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.