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Finding the Fourth Proportional to 543.80, 815.34 and 219.24

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Solution

The fourth proportional to 543.80, 815.34 and 219.24 is: 328.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.80 : 815.34 = 219.24 : x
  2. Step 2: Convert to fraction form
    543.80/815.34 = 219.24/x
  3. Step 3: Cross multiply
    543.80x = 815.34 × 219.24
  4. Step 4: Simplify right side
    543.80x = 178,755.14
  5. Step 5: Solve for x
    x = 178,755.14/543.80
  6. Step 6: Final answer
    x = 328.71

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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.