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Finding the Fourth Proportional to 213.71, 319.95 and 191.84

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Solution

The fourth proportional to 213.71, 319.95 and 191.84 is: 287.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.71 : 319.95 = 191.84 : x
  2. Step 2: Convert to fraction form
    213.71/319.95 = 191.84/x
  3. Step 3: Cross multiply
    213.71x = 319.95 × 191.84
  4. Step 4: Simplify right side
    213.71x = 61,377.61
  5. Step 5: Solve for x
    x = 61,377.61/213.71
  6. Step 6: Final answer
    x = 287.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.