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Finding the Fourth Proportional to 278.84, 385 and 196.22

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Solution

The fourth proportional to 278.84, 385 and 196.22 is: 270.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.84 : 385 = 196.22 : x
  2. Step 2: Convert to fraction form
    278.84/385 = 196.22/x
  3. Step 3: Cross multiply
    278.84x = 385 × 196.22
  4. Step 4: Simplify right side
    278.84x = 75,544.70
  5. Step 5: Solve for x
    x = 75,544.70/278.84
  6. Step 6: Final answer
    x = 270.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.