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Finding the Fourth Proportional to 217.26, 323.61 and 216.84

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Solution

The fourth proportional to 217.26, 323.61 and 216.84 is: 322.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.26 : 323.61 = 216.84 : x
  2. Step 2: Convert to fraction form
    217.26/323.61 = 216.84/x
  3. Step 3: Cross multiply
    217.26x = 323.61 × 216.84
  4. Step 4: Simplify right side
    217.26x = 70,171.59
  5. Step 5: Solve for x
    x = 70,171.59/217.26
  6. Step 6: Final answer
    x = 322.98

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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.