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Finding the Fourth Proportional to 327.05, 490.46 and 205.17

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Solution

The fourth proportional to 327.05, 490.46 and 205.17 is: 307.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.05 : 490.46 = 205.17 : x
  2. Step 2: Convert to fraction form
    327.05/490.46 = 205.17/x
  3. Step 3: Cross multiply
    327.05x = 490.46 × 205.17
  4. Step 4: Simplify right side
    327.05x = 100,626.65
  5. Step 5: Solve for x
    x = 100,626.65/327.05
  6. Step 6: Final answer
    x = 307.68

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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.