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Finding the Fourth Proportional to 217.62, 324.12 and 208.26

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Solution

The fourth proportional to 217.62, 324.12 and 208.26 is: 310.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.62 : 324.12 = 208.26 : x
  2. Step 2: Convert to fraction form
    217.62/324.12 = 208.26/x
  3. Step 3: Cross multiply
    217.62x = 324.12 × 208.26
  4. Step 4: Simplify right side
    217.62x = 67,501.23
  5. Step 5: Solve for x
    x = 67,501.23/217.62
  6. Step 6: Final answer
    x = 310.18

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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.