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Finding the Fourth Proportional to 494.46, 682.32 and 297.96

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Solution

The fourth proportional to 494.46, 682.32 and 297.96 is: 411.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.46 : 682.32 = 297.96 : x
  2. Step 2: Convert to fraction form
    494.46/682.32 = 297.96/x
  3. Step 3: Cross multiply
    494.46x = 682.32 × 297.96
  4. Step 4: Simplify right side
    494.46x = 203,304.07
  5. Step 5: Solve for x
    x = 203,304.07/494.46
  6. Step 6: Final answer
    x = 411.16

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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.