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Finding the Fourth Proportional to 220.59, 327.18 and 217.35

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Solution

The fourth proportional to 220.59, 327.18 and 217.35 is: 322.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.59 : 327.18 = 217.35 : x
  2. Step 2: Convert to fraction form
    220.59/327.18 = 217.35/x
  3. Step 3: Cross multiply
    220.59x = 327.18 × 217.35
  4. Step 4: Simplify right side
    220.59x = 71,112.57
  5. Step 5: Solve for x
    x = 71,112.57/220.59
  6. Step 6: Final answer
    x = 322.37

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.