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Finding the Fourth Proportional to 213.78, 297.06 and 211.55

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Solution

The fourth proportional to 213.78, 297.06 and 211.55 is: 293.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.78 : 297.06 = 211.55 : x
  2. Step 2: Convert to fraction form
    213.78/297.06 = 211.55/x
  3. Step 3: Cross multiply
    213.78x = 297.06 × 211.55
  4. Step 4: Simplify right side
    213.78x = 62,843.79
  5. Step 5: Solve for x
    x = 62,843.79/213.78
  6. Step 6: Final answer
    x = 293.96

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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.