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Finding the Fourth Proportional to 220.08, 301.98 and 211.44

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Solution

The fourth proportional to 220.08, 301.98 and 211.44 is: 290.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.08 : 301.98 = 211.44 : x
  2. Step 2: Convert to fraction form
    220.08/301.98 = 211.44/x
  3. Step 3: Cross multiply
    220.08x = 301.98 × 211.44
  4. Step 4: Simplify right side
    220.08x = 63,850.65
  5. Step 5: Solve for x
    x = 63,850.65/220.08
  6. Step 6: Final answer
    x = 290.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.