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Finding the Fourth Proportional to 211.86, 290.84 and 204.57

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Solution

The fourth proportional to 211.86, 290.84 and 204.57 is: 280.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.86 : 290.84 = 204.57 : x
  2. Step 2: Convert to fraction form
    211.86/290.84 = 204.57/x
  3. Step 3: Cross multiply
    211.86x = 290.84 × 204.57
  4. Step 4: Simplify right side
    211.86x = 59,496.12
  5. Step 5: Solve for x
    x = 59,496.12/211.86
  6. Step 6: Final answer
    x = 280.83

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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.