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Finding the Fourth Proportional to 494.23, 682.02 and 284.38

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Solution

The fourth proportional to 494.23, 682.02 and 284.38 is: 392.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.23 : 682.02 = 284.38 : x
  2. Step 2: Convert to fraction form
    494.23/682.02 = 284.38/x
  3. Step 3: Cross multiply
    494.23x = 682.02 × 284.38
  4. Step 4: Simplify right side
    494.23x = 193,952.85
  5. Step 5: Solve for x
    x = 193,952.85/494.23
  6. Step 6: Final answer
    x = 392.43

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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.