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Finding the Fourth Proportional to 217.32, 297.81 and 214.44

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Solution

The fourth proportional to 217.32, 297.81 and 214.44 is: 293.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.32 : 297.81 = 214.44 : x
  2. Step 2: Convert to fraction form
    217.32/297.81 = 214.44/x
  3. Step 3: Cross multiply
    217.32x = 297.81 × 214.44
  4. Step 4: Simplify right side
    217.32x = 63,862.38
  5. Step 5: Solve for x
    x = 63,862.38/217.32
  6. Step 6: Final answer
    x = 293.86

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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.