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Finding the Fourth Proportional to 217.35, 327.78 and 213.57

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Solution

The fourth proportional to 217.35, 327.78 and 213.57 is: 322.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.35 : 327.78 = 213.57 : x
  2. Step 2: Convert to fraction form
    217.35/327.78 = 213.57/x
  3. Step 3: Cross multiply
    217.35x = 327.78 × 213.57
  4. Step 4: Simplify right side
    217.35x = 70,003.97
  5. Step 5: Solve for x
    x = 70,003.97/217.35
  6. Step 6: Final answer
    x = 322.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.