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Finding the Fourth Proportional to 217.49, 324.03 and 208.18

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Solution

The fourth proportional to 217.49, 324.03 and 208.18 is: 310.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.49 : 324.03 = 208.18 : x
  2. Step 2: Convert to fraction form
    217.49/324.03 = 208.18/x
  3. Step 3: Cross multiply
    217.49x = 324.03 × 208.18
  4. Step 4: Simplify right side
    217.49x = 67,453.90
  5. Step 5: Solve for x
    x = 67,453.90/217.49
  6. Step 6: Final answer
    x = 310.15

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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.