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Finding the Fourth Proportional to 284.25, 391.96 and 254.79

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Solution

The fourth proportional to 284.25, 391.96 and 254.79 is: 351.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.25 : 391.96 = 254.79 : x
  2. Step 2: Convert to fraction form
    284.25/391.96 = 254.79/x
  3. Step 3: Cross multiply
    284.25x = 391.96 × 254.79
  4. Step 4: Simplify right side
    284.25x = 99,866.85
  5. Step 5: Solve for x
    x = 99,866.85/284.25
  6. Step 6: Final answer
    x = 351.33

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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.