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Finding the Fourth Proportional to 361.37, 541.42 and 279.02

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Solution

The fourth proportional to 361.37, 541.42 and 279.02 is: 418.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.37 : 541.42 = 279.02 : x
  2. Step 2: Convert to fraction form
    361.37/541.42 = 279.02/x
  3. Step 3: Cross multiply
    361.37x = 541.42 × 279.02
  4. Step 4: Simplify right side
    361.37x = 151,067.66
  5. Step 5: Solve for x
    x = 151,067.66/361.37
  6. Step 6: Final answer
    x = 418.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.