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Finding the Fourth Proportional to 217.73, 327.83 and 192.21

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Solution

The fourth proportional to 217.73, 327.83 and 192.21 is: 289.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.73 : 327.83 = 192.21 : x
  2. Step 2: Convert to fraction form
    217.73/327.83 = 192.21/x
  3. Step 3: Cross multiply
    217.73x = 327.83 × 192.21
  4. Step 4: Simplify right side
    217.73x = 63,012.20
  5. Step 5: Solve for x
    x = 63,012.20/217.73
  6. Step 6: Final answer
    x = 289.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.