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Finding the Fourth Proportional to 214.14, 319.39 and 195.92

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Solution

The fourth proportional to 214.14, 319.39 and 195.92 is: 292.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.14 : 319.39 = 195.92 : x
  2. Step 2: Convert to fraction form
    214.14/319.39 = 195.92/x
  3. Step 3: Cross multiply
    214.14x = 319.39 × 195.92
  4. Step 4: Simplify right side
    214.14x = 62,573.91
  5. Step 5: Solve for x
    x = 62,573.91/214.14
  6. Step 6: Final answer
    x = 292.21

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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.