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Finding the Fourth Proportional to 494.93, 682.68 and 298.25

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Solution

The fourth proportional to 494.93, 682.68 and 298.25 is: 411.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.93 : 682.68 = 298.25 : x
  2. Step 2: Convert to fraction form
    494.93/682.68 = 298.25/x
  3. Step 3: Cross multiply
    494.93x = 682.68 × 298.25
  4. Step 4: Simplify right side
    494.93x = 203,609.31
  5. Step 5: Solve for x
    x = 203,609.31/494.93
  6. Step 6: Final answer
    x = 411.39

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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.