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Finding the Fourth Proportional to 217.56, 324.60 and 198.12

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Solution

The fourth proportional to 217.56, 324.60 and 198.12 is: 295.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.56 : 324.60 = 198.12 : x
  2. Step 2: Convert to fraction form
    217.56/324.60 = 198.12/x
  3. Step 3: Cross multiply
    217.56x = 324.60 × 198.12
  4. Step 4: Simplify right side
    217.56x = 64,309.75
  5. Step 5: Solve for x
    x = 64,309.75/217.56
  6. Step 6: Final answer
    x = 295.60

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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.