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Finding the Fourth Proportional to 216.87, 323.40 and 208.41

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Solution

The fourth proportional to 216.87, 323.40 and 208.41 is: 310.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.87 : 323.40 = 208.41 : x
  2. Step 2: Convert to fraction form
    216.87/323.40 = 208.41/x
  3. Step 3: Cross multiply
    216.87x = 323.40 × 208.41
  4. Step 4: Simplify right side
    216.87x = 67,399.79
  5. Step 5: Solve for x
    x = 67,399.79/216.87
  6. Step 6: Final answer
    x = 310.78

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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.