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Finding the Fourth Proportional to 528.11, 791.86 and 219.61

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Solution

The fourth proportional to 528.11, 791.86 and 219.61 is: 329.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.11 : 791.86 = 219.61 : x
  2. Step 2: Convert to fraction form
    528.11/791.86 = 219.61/x
  3. Step 3: Cross multiply
    528.11x = 791.86 × 219.61
  4. Step 4: Simplify right side
    528.11x = 173,900.37
  5. Step 5: Solve for x
    x = 173,900.37/528.11
  6. Step 6: Final answer
    x = 329.29

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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.