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Finding the Fourth Proportional to 284.30, 391.44 and 251.09

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Solution

The fourth proportional to 284.30, 391.44 and 251.09 is: 345.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.30 : 391.44 = 251.09 : x
  2. Step 2: Convert to fraction form
    284.30/391.44 = 251.09/x
  3. Step 3: Cross multiply
    284.30x = 391.44 × 251.09
  4. Step 4: Simplify right side
    284.30x = 98,286.67
  5. Step 5: Solve for x
    x = 98,286.67/284.30
  6. Step 6: Final answer
    x = 345.71

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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.