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Finding the Fourth Proportional to 214.44, 319.28 and 211.42

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Solution

The fourth proportional to 214.44, 319.28 and 211.42 is: 314.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.44 : 319.28 = 211.42 : x
  2. Step 2: Convert to fraction form
    214.44/319.28 = 211.42/x
  3. Step 3: Cross multiply
    214.44x = 319.28 × 211.42
  4. Step 4: Simplify right side
    214.44x = 67,502.18
  5. Step 5: Solve for x
    x = 67,502.18/214.44
  6. Step 6: Final answer
    x = 314.78

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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.