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Finding the Fourth Proportional to 327.41, 493.33 and 270.90

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Solution

The fourth proportional to 327.41, 493.33 and 270.90 is: 408.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.41 : 493.33 = 270.90 : x
  2. Step 2: Convert to fraction form
    327.41/493.33 = 270.90/x
  3. Step 3: Cross multiply
    327.41x = 493.33 × 270.90
  4. Step 4: Simplify right side
    327.41x = 133,639.28
  5. Step 5: Solve for x
    x = 133,639.28/327.41
  6. Step 6: Final answer
    x = 408.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.