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Finding the Fourth Proportional to 284.25, 391.44 and 196.77

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Solution

The fourth proportional to 284.25, 391.44 and 196.77 is: 270.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.25 : 391.44 = 196.77 : x
  2. Step 2: Convert to fraction form
    284.25/391.44 = 196.77/x
  3. Step 3: Cross multiply
    284.25x = 391.44 × 196.77
  4. Step 4: Simplify right side
    284.25x = 77,023.65
  5. Step 5: Solve for x
    x = 77,023.65/284.25
  6. Step 6: Final answer
    x = 270.97

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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.