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Finding the Fourth Proportional to 543.28, 815.10 and 218.56

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Solution

The fourth proportional to 543.28, 815.10 and 218.56 is: 327.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.28 : 815.10 = 218.56 : x
  2. Step 2: Convert to fraction form
    543.28/815.10 = 218.56/x
  3. Step 3: Cross multiply
    543.28x = 815.10 × 218.56
  4. Step 4: Simplify right side
    543.28x = 178,148.26
  5. Step 5: Solve for x
    x = 178,148.26/543.28
  6. Step 6: Final answer
    x = 327.91

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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.