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Finding the Fourth Proportional to 217.78, 298.35 and 209.56

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Solution

The fourth proportional to 217.78, 298.35 and 209.56 is: 287.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.78 : 298.35 = 209.56 : x
  2. Step 2: Convert to fraction form
    217.78/298.35 = 209.56/x
  3. Step 3: Cross multiply
    217.78x = 298.35 × 209.56
  4. Step 4: Simplify right side
    217.78x = 62,522.23
  5. Step 5: Solve for x
    x = 62,522.23/217.78
  6. Step 6: Final answer
    x = 287.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.