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Finding the Fourth Proportional to 217.08, 324.09 and 204.12

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Solution

The fourth proportional to 217.08, 324.09 and 204.12 is: 304.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.08 : 324.09 = 204.12 : x
  2. Step 2: Convert to fraction form
    217.08/324.09 = 204.12/x
  3. Step 3: Cross multiply
    217.08x = 324.09 × 204.12
  4. Step 4: Simplify right side
    217.08x = 66,153.25
  5. Step 5: Solve for x
    x = 66,153.25/217.08
  6. Step 6: Final answer
    x = 304.74

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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.