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Finding the Fourth Proportional to 327.16, 490.57 and 190.25

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Solution

The fourth proportional to 327.16, 490.57 and 190.25 is: 285.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.16 : 490.57 = 190.25 : x
  2. Step 2: Convert to fraction form
    327.16/490.57 = 190.25/x
  3. Step 3: Cross multiply
    327.16x = 490.57 × 190.25
  4. Step 4: Simplify right side
    327.16x = 93,330.92
  5. Step 5: Solve for x
    x = 93,330.92/327.16
  6. Step 6: Final answer
    x = 285.28

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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.