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Finding the Fourth Proportional to 361.76, 496.82 and 303.44

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Solution

The fourth proportional to 361.76, 496.82 and 303.44 is: 416.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.76 : 496.82 = 303.44 : x
  2. Step 2: Convert to fraction form
    361.76/496.82 = 303.44/x
  3. Step 3: Cross multiply
    361.76x = 496.82 × 303.44
  4. Step 4: Simplify right side
    361.76x = 150,755.06
  5. Step 5: Solve for x
    x = 150,755.06/361.76
  6. Step 6: Final answer
    x = 416.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.