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Finding the Fourth Proportional to 214.03, 297.41 and 211.80

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Solution

The fourth proportional to 214.03, 297.41 and 211.80 is: 294.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.03 : 297.41 = 211.80 : x
  2. Step 2: Convert to fraction form
    214.03/297.41 = 211.80/x
  3. Step 3: Cross multiply
    214.03x = 297.41 × 211.80
  4. Step 4: Simplify right side
    214.03x = 62,991.44
  5. Step 5: Solve for x
    x = 62,991.44/214.03
  6. Step 6: Final answer
    x = 294.31

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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.