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Finding the Fourth Proportional to 211.41, 289.62 and 191.97

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Solution

The fourth proportional to 211.41, 289.62 and 191.97 is: 262.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.41 : 289.62 = 191.97 : x
  2. Step 2: Convert to fraction form
    211.41/289.62 = 191.97/x
  3. Step 3: Cross multiply
    211.41x = 289.62 × 191.97
  4. Step 4: Simplify right side
    211.41x = 55,598.35
  5. Step 5: Solve for x
    x = 55,598.35/211.41
  6. Step 6: Final answer
    x = 262.99

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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.