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Finding the Fourth Proportional to 217.43, 297.38 and 214.19

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Solution

The fourth proportional to 217.43, 297.38 and 214.19 is: 292.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.43 : 297.38 = 214.19 : x
  2. Step 2: Convert to fraction form
    217.43/297.38 = 214.19/x
  3. Step 3: Cross multiply
    217.43x = 297.38 × 214.19
  4. Step 4: Simplify right side
    217.43x = 63,694.87
  5. Step 5: Solve for x
    x = 63,694.87/217.43
  6. Step 6: Final answer
    x = 292.95

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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.