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Finding the Fourth Proportional to 494.25, 682.10 and 297.75

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Solution

The fourth proportional to 494.25, 682.10 and 297.75 is: 410.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.25 : 682.10 = 297.75 : x
  2. Step 2: Convert to fraction form
    494.25/682.10 = 297.75/x
  3. Step 3: Cross multiply
    494.25x = 682.10 × 297.75
  4. Step 4: Simplify right side
    494.25x = 203,095.28
  5. Step 5: Solve for x
    x = 203,095.28/494.25
  6. Step 6: Final answer
    x = 410.92

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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.