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Finding the Fourth Proportional to 214.39, 297.21 and 203.27

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Solution

The fourth proportional to 214.39, 297.21 and 203.27 is: 281.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.39 : 297.21 = 203.27 : x
  2. Step 2: Convert to fraction form
    214.39/297.21 = 203.27/x
  3. Step 3: Cross multiply
    214.39x = 297.21 × 203.27
  4. Step 4: Simplify right side
    214.39x = 60,414.82
  5. Step 5: Solve for x
    x = 60,414.82/214.39
  6. Step 6: Final answer
    x = 281.80

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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.