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Finding the Fourth Proportional to 361.75, 494.92 and 360.21

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Solution

The fourth proportional to 361.75, 494.92 and 360.21 is: 492.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.75 : 494.92 = 360.21 : x
  2. Step 2: Convert to fraction form
    361.75/494.92 = 360.21/x
  3. Step 3: Cross multiply
    361.75x = 494.92 × 360.21
  4. Step 4: Simplify right side
    361.75x = 178,275.13
  5. Step 5: Solve for x
    x = 178,275.13/361.75
  6. Step 6: Final answer
    x = 492.81

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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.