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Finding the Fourth Proportional to 284.22, 391.23 and 255.06

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Solution

The fourth proportional to 284.22, 391.23 and 255.06 is: 351.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.22 : 391.23 = 255.06 : x
  2. Step 2: Convert to fraction form
    284.22/391.23 = 255.06/x
  3. Step 3: Cross multiply
    284.22x = 391.23 × 255.06
  4. Step 4: Simplify right side
    284.22x = 99,787.12
  5. Step 5: Solve for x
    x = 99,787.12/284.22
  6. Step 6: Final answer
    x = 351.09

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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.