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Finding the Fourth Proportional to 394.22, 544.08 and 361.28

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Solution

The fourth proportional to 394.22, 544.08 and 361.28 is: 498.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.22 : 544.08 = 361.28 : x
  2. Step 2: Convert to fraction form
    394.22/544.08 = 361.28/x
  3. Step 3: Cross multiply
    394.22x = 544.08 × 361.28
  4. Step 4: Simplify right side
    394.22x = 196,565.22
  5. Step 5: Solve for x
    x = 196,565.22/394.22
  6. Step 6: Final answer
    x = 498.62

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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.