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Finding the Fourth Proportional to 217.79, 327.44 and 115.28

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Solution

The fourth proportional to 217.79, 327.44 and 115.28 is: 173.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.79 : 327.44 = 115.28 : x
  2. Step 2: Convert to fraction form
    217.79/327.44 = 115.28/x
  3. Step 3: Cross multiply
    217.79x = 327.44 × 115.28
  4. Step 4: Simplify right side
    217.79x = 37,745.07
  5. Step 5: Solve for x
    x = 37,745.07/217.79
  6. Step 6: Final answer
    x = 173.31

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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.