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Finding the Fourth Proportional to 217.28, 324.10 and 198.64

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Solution

The fourth proportional to 217.28, 324.10 and 198.64 is: 296.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.28 : 324.10 = 198.64 : x
  2. Step 2: Convert to fraction form
    217.28/324.10 = 198.64/x
  3. Step 3: Cross multiply
    217.28x = 324.10 × 198.64
  4. Step 4: Simplify right side
    217.28x = 64,379.22
  5. Step 5: Solve for x
    x = 64,379.22/217.28
  6. Step 6: Final answer
    x = 296.30

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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.