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Finding the Fourth Proportional to 327.24, 490.25 and 286.54

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Solution

The fourth proportional to 327.24, 490.25 and 286.54 is: 429.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.24 : 490.25 = 286.54 : x
  2. Step 2: Convert to fraction form
    327.24/490.25 = 286.54/x
  3. Step 3: Cross multiply
    327.24x = 490.25 × 286.54
  4. Step 4: Simplify right side
    327.24x = 140,475.73
  5. Step 5: Solve for x
    x = 140,475.73/327.24
  6. Step 6: Final answer
    x = 429.27

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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.