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Finding the Fourth Proportional to 494.31, 682.09 and 284.49

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Solution

The fourth proportional to 494.31, 682.09 and 284.49 is: 392.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.31 : 682.09 = 284.49 : x
  2. Step 2: Convert to fraction form
    494.31/682.09 = 284.49/x
  3. Step 3: Cross multiply
    494.31x = 682.09 × 284.49
  4. Step 4: Simplify right side
    494.31x = 194,044.37
  5. Step 5: Solve for x
    x = 194,044.37/494.31
  6. Step 6: Final answer
    x = 392.56

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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.