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Finding the Fourth Proportional to 214.25, 319.44 and 200.27

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Solution

The fourth proportional to 214.25, 319.44 and 200.27 is: 298.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.25 : 319.44 = 200.27 : x
  2. Step 2: Convert to fraction form
    214.25/319.44 = 200.27/x
  3. Step 3: Cross multiply
    214.25x = 319.44 × 200.27
  4. Step 4: Simplify right side
    214.25x = 63,975.80
  5. Step 5: Solve for x
    x = 63,975.80/214.25
  6. Step 6: Final answer
    x = 298.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.