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Finding the Fourth Proportional to 284.43, 425.20 and 255.09

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Solution

The fourth proportional to 284.43, 425.20 and 255.09 is: 381.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.43 : 425.20 = 255.09 : x
  2. Step 2: Convert to fraction form
    284.43/425.20 = 255.09/x
  3. Step 3: Cross multiply
    284.43x = 425.20 × 255.09
  4. Step 4: Simplify right side
    284.43x = 108,463.84
  5. Step 5: Solve for x
    x = 108,463.84/284.43
  6. Step 6: Final answer
    x = 381.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.