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Finding the Fourth Proportional to 361.43, 539.31 and 339.40

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Solution

The fourth proportional to 361.43, 539.31 and 339.40 is: 506.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.43 : 539.31 = 339.40 : x
  2. Step 2: Convert to fraction form
    361.43/539.31 = 339.40/x
  3. Step 3: Cross multiply
    361.43x = 539.31 × 339.40
  4. Step 4: Simplify right side
    361.43x = 183,040.73
  5. Step 5: Solve for x
    x = 183,040.73/361.43
  6. Step 6: Final answer
    x = 506.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.