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Finding the Fourth Proportional to 216.52, 299.01 and 163.97

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Solution

The fourth proportional to 216.52, 299.01 and 163.97 is: 226.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.52 : 299.01 = 163.97 : x
  2. Step 2: Convert to fraction form
    216.52/299.01 = 163.97/x
  3. Step 3: Cross multiply
    216.52x = 299.01 × 163.97
  4. Step 4: Simplify right side
    216.52x = 49,028.91
  5. Step 5: Solve for x
    x = 49,028.91/216.52
  6. Step 6: Final answer
    x = 226.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.