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Finding the Fourth Proportional to 543.80, 816.12 and 219.44

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Solution

The fourth proportional to 543.80, 816.12 and 219.44 is: 329.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.80 : 816.12 = 219.44 : x
  2. Step 2: Convert to fraction form
    543.80/816.12 = 219.44/x
  3. Step 3: Cross multiply
    543.80x = 816.12 × 219.44
  4. Step 4: Simplify right side
    543.80x = 179,089.37
  5. Step 5: Solve for x
    x = 179,089.37/543.80
  6. Step 6: Final answer
    x = 329.33

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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.