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Finding the Fourth Proportional to 220.36, 305.41 and 216.26

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Solution

The fourth proportional to 220.36, 305.41 and 216.26 is: 299.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.36 : 305.41 = 216.26 : x
  2. Step 2: Convert to fraction form
    220.36/305.41 = 216.26/x
  3. Step 3: Cross multiply
    220.36x = 305.41 × 216.26
  4. Step 4: Simplify right side
    220.36x = 66,047.97
  5. Step 5: Solve for x
    x = 66,047.97/220.36
  6. Step 6: Final answer
    x = 299.73

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.