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Finding the Fourth Proportional to 494.51, 682.49 and 297.98

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Solution

The fourth proportional to 494.51, 682.49 and 297.98 is: 411.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.51 : 682.49 = 297.98 : x
  2. Step 2: Convert to fraction form
    494.51/682.49 = 297.98/x
  3. Step 3: Cross multiply
    494.51x = 682.49 × 297.98
  4. Step 4: Simplify right side
    494.51x = 203,372.10
  5. Step 5: Solve for x
    x = 203,372.10/494.51
  6. Step 6: Final answer
    x = 411.26

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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.