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Finding the Fourth Proportional to 361.98, 543.24 and 217.80

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Solution

The fourth proportional to 361.98, 543.24 and 217.80 is: 326.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.98 : 543.24 = 217.80 : x
  2. Step 2: Convert to fraction form
    361.98/543.24 = 217.80/x
  3. Step 3: Cross multiply
    361.98x = 543.24 × 217.80
  4. Step 4: Simplify right side
    361.98x = 118,317.67
  5. Step 5: Solve for x
    x = 118,317.67/361.98
  6. Step 6: Final answer
    x = 326.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.