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Finding the Fourth Proportional to 217.26, 324.32 and 196.80

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Solution

The fourth proportional to 217.26, 324.32 and 196.80 is: 293.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.26 : 324.32 = 196.80 : x
  2. Step 2: Convert to fraction form
    217.26/324.32 = 196.80/x
  3. Step 3: Cross multiply
    217.26x = 324.32 × 196.80
  4. Step 4: Simplify right side
    217.26x = 63,825.19
  5. Step 5: Solve for x
    x = 63,825.19/217.26
  6. Step 6: Final answer
    x = 293.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.