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Finding the Fourth Proportional to 361.74, 494.91 and 360.22

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Solution

The fourth proportional to 361.74, 494.91 and 360.22 is: 492.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.74 : 494.91 = 360.22 : x
  2. Step 2: Convert to fraction form
    361.74/494.91 = 360.22/x
  3. Step 3: Cross multiply
    361.74x = 494.91 × 360.22
  4. Step 4: Simplify right side
    361.74x = 178,276.48
  5. Step 5: Solve for x
    x = 178,276.48/361.74
  6. Step 6: Final answer
    x = 492.83

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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.