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Finding the Fourth Proportional to 527.45, 791.12 and 219.21

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Solution

The fourth proportional to 527.45, 791.12 and 219.21 is: 328.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.45 : 791.12 = 219.21 : x
  2. Step 2: Convert to fraction form
    527.45/791.12 = 219.21/x
  3. Step 3: Cross multiply
    527.45x = 791.12 × 219.21
  4. Step 4: Simplify right side
    527.45x = 173,420.32
  5. Step 5: Solve for x
    x = 173,420.32/527.45
  6. Step 6: Final answer
    x = 328.79

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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.