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Finding the Fourth Proportional to 217.22, 323.35 and 213.98

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Solution

The fourth proportional to 217.22, 323.35 and 213.98 is: 318.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.22 : 323.35 = 213.98 : x
  2. Step 2: Convert to fraction form
    217.22/323.35 = 213.98/x
  3. Step 3: Cross multiply
    217.22x = 323.35 × 213.98
  4. Step 4: Simplify right side
    217.22x = 69,190.43
  5. Step 5: Solve for x
    x = 69,190.43/217.22
  6. Step 6: Final answer
    x = 318.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.