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Finding the Fourth Proportional to 217.36, 323.60 and 216.28

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Solution

The fourth proportional to 217.36, 323.60 and 216.28 is: 321.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.36 : 323.60 = 216.28 : x
  2. Step 2: Convert to fraction form
    217.36/323.60 = 216.28/x
  3. Step 3: Cross multiply
    217.36x = 323.60 × 216.28
  4. Step 4: Simplify right side
    217.36x = 69,988.21
  5. Step 5: Solve for x
    x = 69,988.21/217.36
  6. Step 6: Final answer
    x = 321.99

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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.