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Finding the Fourth Proportional to 327.68, 490.56 and 295.04

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Solution

The fourth proportional to 327.68, 490.56 and 295.04 is: 441.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.68 : 490.56 = 295.04 : x
  2. Step 2: Convert to fraction form
    327.68/490.56 = 295.04/x
  3. Step 3: Cross multiply
    327.68x = 490.56 × 295.04
  4. Step 4: Simplify right side
    327.68x = 144,734.82
  5. Step 5: Solve for x
    x = 144,734.82/327.68
  6. Step 6: Final answer
    x = 441.70

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Why These Related Problems?

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