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Finding the Fourth Proportional to 361.18, 543.91 and 329.02

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Solution

The fourth proportional to 361.18, 543.91 and 329.02 is: 495.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.18 : 543.91 = 329.02 : x
  2. Step 2: Convert to fraction form
    361.18/543.91 = 329.02/x
  3. Step 3: Cross multiply
    361.18x = 543.91 × 329.02
  4. Step 4: Simplify right side
    361.18x = 178,957.27
  5. Step 5: Solve for x
    x = 178,957.27/361.18
  6. Step 6: Final answer
    x = 495.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.