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Finding the Fourth Proportional to 217.30, 327.13 and 198.16

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Solution

The fourth proportional to 217.30, 327.13 and 198.16 is: 298.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.30 : 327.13 = 198.16 : x
  2. Step 2: Convert to fraction form
    217.30/327.13 = 198.16/x
  3. Step 3: Cross multiply
    217.30x = 327.13 × 198.16
  4. Step 4: Simplify right side
    217.30x = 64,824.08
  5. Step 5: Solve for x
    x = 64,824.08/217.30
  6. Step 6: Final answer
    x = 298.32

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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.