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Finding the Fourth Proportional to 494.48, 682.25 and 297.95

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Solution

The fourth proportional to 494.48, 682.25 and 297.95 is: 411.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.48 : 682.25 = 297.95 : x
  2. Step 2: Convert to fraction form
    494.48/682.25 = 297.95/x
  3. Step 3: Cross multiply
    494.48x = 682.25 × 297.95
  4. Step 4: Simplify right side
    494.48x = 203,276.39
  5. Step 5: Solve for x
    x = 203,276.39/494.48
  6. Step 6: Final answer
    x = 411.09

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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.