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Finding the Fourth Proportional to 217.92, 301.44 and 209.92

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Solution

The fourth proportional to 217.92, 301.44 and 209.92 is: 290.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.92 : 301.44 = 209.92 : x
  2. Step 2: Convert to fraction form
    217.92/301.44 = 209.92/x
  3. Step 3: Cross multiply
    217.92x = 301.44 × 209.92
  4. Step 4: Simplify right side
    217.92x = 63,278.28
  5. Step 5: Solve for x
    x = 63,278.28/217.92
  6. Step 6: Final answer
    x = 290.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.