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Finding the Fourth Proportional to 216.14, 323.49 and 208.11

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Solution

The fourth proportional to 216.14, 323.49 and 208.11 is: 311.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.14 : 323.49 = 208.11 : x
  2. Step 2: Convert to fraction form
    216.14/323.49 = 208.11/x
  3. Step 3: Cross multiply
    216.14x = 323.49 × 208.11
  4. Step 4: Simplify right side
    216.14x = 67,321.22
  5. Step 5: Solve for x
    x = 67,321.22/216.14
  6. Step 6: Final answer
    x = 311.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.