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Finding the Fourth Proportional to 211.09, 290.73 and 200.11

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Solution

The fourth proportional to 211.09, 290.73 and 200.11 is: 275.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.09 : 290.73 = 200.11 : x
  2. Step 2: Convert to fraction form
    211.09/290.73 = 200.11/x
  3. Step 3: Cross multiply
    211.09x = 290.73 × 200.11
  4. Step 4: Simplify right side
    211.09x = 58,177.98
  5. Step 5: Solve for x
    x = 58,177.98/211.09
  6. Step 6: Final answer
    x = 275.61

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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.