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Finding the Fourth Proportional to 527.82, 791.66 and 219.96

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Solution

The fourth proportional to 527.82, 791.66 and 219.96 is: 329.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.82 : 791.66 = 219.96 : x
  2. Step 2: Convert to fraction form
    527.82/791.66 = 219.96/x
  3. Step 3: Cross multiply
    527.82x = 791.66 × 219.96
  4. Step 4: Simplify right side
    527.82x = 174,132.43
  5. Step 5: Solve for x
    x = 174,132.43/527.82
  6. Step 6: Final answer
    x = 329.91

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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.