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Finding the Fourth Proportional to 527.22, 791.00 and 219.23

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Solution

The fourth proportional to 527.22, 791.00 and 219.23 is: 328.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.22 : 791.00 = 219.23 : x
  2. Step 2: Convert to fraction form
    527.22/791.00 = 219.23/x
  3. Step 3: Cross multiply
    527.22x = 791.00 × 219.23
  4. Step 4: Simplify right side
    527.22x = 173,405.88
  5. Step 5: Solve for x
    x = 173,405.88/527.22
  6. Step 6: Final answer
    x = 328.91

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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.