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Finding the Fourth Proportional to 394.20, 544.26 and 361.32

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Solution

The fourth proportional to 394.20, 544.26 and 361.32 is: 498.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.20 : 544.26 = 361.32 : x
  2. Step 2: Convert to fraction form
    394.20/544.26 = 361.32/x
  3. Step 3: Cross multiply
    394.20x = 544.26 × 361.32
  4. Step 4: Simplify right side
    394.20x = 196,652.02
  5. Step 5: Solve for x
    x = 196,652.02/394.20
  6. Step 6: Final answer
    x = 498.86

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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.