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Finding the Fourth Proportional to 493.29, 740.11 and 219.57

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Solution

The fourth proportional to 493.29, 740.11 and 219.57 is: 329.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.29 : 740.11 = 219.57 : x
  2. Step 2: Convert to fraction form
    493.29/740.11 = 219.57/x
  3. Step 3: Cross multiply
    493.29x = 740.11 × 219.57
  4. Step 4: Simplify right side
    493.29x = 162,504.85
  5. Step 5: Solve for x
    x = 162,504.85/493.29
  6. Step 6: Final answer
    x = 329.43

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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.