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Finding the Fourth Proportional to 285.94, 394.97 and 251.09

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Solution

The fourth proportional to 285.94, 394.97 and 251.09 is: 346.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.94 : 394.97 = 251.09 : x
  2. Step 2: Convert to fraction form
    285.94/394.97 = 251.09/x
  3. Step 3: Cross multiply
    285.94x = 394.97 × 251.09
  4. Step 4: Simplify right side
    285.94x = 99,171.95
  5. Step 5: Solve for x
    x = 99,171.95/285.94
  6. Step 6: Final answer
    x = 346.82

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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.