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Finding the Fourth Proportional to 217.96, 298.61 and 209.32

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Solution

The fourth proportional to 217.96, 298.61 and 209.32 is: 286.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.96 : 298.61 = 209.32 : x
  2. Step 2: Convert to fraction form
    217.96/298.61 = 209.32/x
  3. Step 3: Cross multiply
    217.96x = 298.61 × 209.32
  4. Step 4: Simplify right side
    217.96x = 62,505.05
  5. Step 5: Solve for x
    x = 62,505.05/217.96
  6. Step 6: Final answer
    x = 286.77

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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.