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Finding the Fourth Proportional to 217.84, 298.44 and 209.63

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Solution

The fourth proportional to 217.84, 298.44 and 209.63 is: 287.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.84 : 298.44 = 209.63 : x
  2. Step 2: Convert to fraction form
    217.84/298.44 = 209.63/x
  3. Step 3: Cross multiply
    217.84x = 298.44 × 209.63
  4. Step 4: Simplify right side
    217.84x = 62,560.93
  5. Step 5: Solve for x
    x = 62,560.93/217.84
  6. Step 6: Final answer
    x = 287.19

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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.