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Finding the Fourth Proportional to 494.33, 682.22 and 369.77

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Solution

The fourth proportional to 494.33, 682.22 and 369.77 is: 510.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.33 : 682.22 = 369.77 : x
  2. Step 2: Convert to fraction form
    494.33/682.22 = 369.77/x
  3. Step 3: Cross multiply
    494.33x = 682.22 × 369.77
  4. Step 4: Simplify right side
    494.33x = 252,259.23
  5. Step 5: Solve for x
    x = 252,259.23/494.33
  6. Step 6: Final answer
    x = 510.31

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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.