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Finding the Fourth Proportional to 216.82, 299.27 and 205.80

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Solution

The fourth proportional to 216.82, 299.27 and 205.80 is: 284.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.82 : 299.27 = 205.80 : x
  2. Step 2: Convert to fraction form
    216.82/299.27 = 205.80/x
  3. Step 3: Cross multiply
    216.82x = 299.27 × 205.80
  4. Step 4: Simplify right side
    216.82x = 61,589.16
  5. Step 5: Solve for x
    x = 61,589.16/216.82
  6. Step 6: Final answer
    x = 284.05

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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.