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Finding the Fourth Proportional to 217.88, 324.40 and 216.80

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Solution

The fourth proportional to 217.88, 324.40 and 216.80 is: 322.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.88 : 324.40 = 216.80 : x
  2. Step 2: Convert to fraction form
    217.88/324.40 = 216.80/x
  3. Step 3: Cross multiply
    217.88x = 324.40 × 216.80
  4. Step 4: Simplify right side
    217.88x = 70,329.92
  5. Step 5: Solve for x
    x = 70,329.92/217.88
  6. Step 6: Final answer
    x = 322.79

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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.