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Finding the Fourth Proportional to 211.41, 292.82 and 195.62

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Solution

The fourth proportional to 211.41, 292.82 and 195.62 is: 270.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.41 : 292.82 = 195.62 : x
  2. Step 2: Convert to fraction form
    211.41/292.82 = 195.62/x
  3. Step 3: Cross multiply
    211.41x = 292.82 × 195.62
  4. Step 4: Simplify right side
    211.41x = 57,279.01
  5. Step 5: Solve for x
    x = 57,279.01/211.41
  6. Step 6: Final answer
    x = 270.94

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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.