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Finding the Fourth Proportional to 217.46, 297.93 and 208.82

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Solution

The fourth proportional to 217.46, 297.93 and 208.82 is: 286.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.46 : 297.93 = 208.82 : x
  2. Step 2: Convert to fraction form
    217.46/297.93 = 208.82/x
  3. Step 3: Cross multiply
    217.46x = 297.93 × 208.82
  4. Step 4: Simplify right side
    217.46x = 62,212.70
  5. Step 5: Solve for x
    x = 62,212.70/217.46
  6. Step 6: Final answer
    x = 286.09

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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.