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Finding the Fourth Proportional to 217.13, 323.61 and 216.80

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Solution

The fourth proportional to 217.13, 323.61 and 216.80 is: 323.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.13 : 323.61 = 216.80 : x
  2. Step 2: Convert to fraction form
    217.13/323.61 = 216.80/x
  3. Step 3: Cross multiply
    217.13x = 323.61 × 216.80
  4. Step 4: Simplify right side
    217.13x = 70,155.95
  5. Step 5: Solve for x
    x = 70,155.95/217.13
  6. Step 6: Final answer
    x = 323.11

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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.