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Finding the Fourth Proportional to 211.87, 319.57 and 209.44

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Solution

The fourth proportional to 211.87, 319.57 and 209.44 is: 315.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.87 : 319.57 = 209.44 : x
  2. Step 2: Convert to fraction form
    211.87/319.57 = 209.44/x
  3. Step 3: Cross multiply
    211.87x = 319.57 × 209.44
  4. Step 4: Simplify right side
    211.87x = 66,930.74
  5. Step 5: Solve for x
    x = 66,930.74/211.87
  6. Step 6: Final answer
    x = 315.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.