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Finding the Fourth Proportional to 378.95, 568.55 and 196.43

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Solution

The fourth proportional to 378.95, 568.55 and 196.43 is: 294.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.95 : 568.55 = 196.43 : x
  2. Step 2: Convert to fraction form
    378.95/568.55 = 196.43/x
  3. Step 3: Cross multiply
    378.95x = 568.55 × 196.43
  4. Step 4: Simplify right side
    378.95x = 111,677.92
  5. Step 5: Solve for x
    x = 111,677.92/378.95
  6. Step 6: Final answer
    x = 294.71

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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.