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Finding the Fourth Proportional to 295.84, 408.13 and 196.28

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Solution

The fourth proportional to 295.84, 408.13 and 196.28 is: 270.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.84 : 408.13 = 196.28 : x
  2. Step 2: Convert to fraction form
    295.84/408.13 = 196.28/x
  3. Step 3: Cross multiply
    295.84x = 408.13 × 196.28
  4. Step 4: Simplify right side
    295.84x = 80,107.76
  5. Step 5: Solve for x
    x = 80,107.76/295.84
  6. Step 6: Final answer
    x = 270.78

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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.