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Finding the Fourth Proportional to 214.42, 319.46 and 200.44

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Solution

The fourth proportional to 214.42, 319.46 and 200.44 is: 298.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.42 : 319.46 = 200.44 : x
  2. Step 2: Convert to fraction form
    214.42/319.46 = 200.44/x
  3. Step 3: Cross multiply
    214.42x = 319.46 × 200.44
  4. Step 4: Simplify right side
    214.42x = 64,032.56
  5. Step 5: Solve for x
    x = 64,032.56/214.42
  6. Step 6: Final answer
    x = 298.63

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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.