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Finding the Fourth Proportional to 327.60, 490.76 and 173.48

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Solution

The fourth proportional to 327.60, 490.76 and 173.48 is: 259.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.60 : 490.76 = 173.48 : x
  2. Step 2: Convert to fraction form
    327.60/490.76 = 173.48/x
  3. Step 3: Cross multiply
    327.60x = 490.76 × 173.48
  4. Step 4: Simplify right side
    327.60x = 85,137.04
  5. Step 5: Solve for x
    x = 85,137.04/327.60
  6. Step 6: Final answer
    x = 259.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.