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Finding the Fourth Proportional to 492.11, 679.08 and 295.73

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Solution

The fourth proportional to 492.11, 679.08 and 295.73 is: 408.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.11 : 679.08 = 295.73 : x
  2. Step 2: Convert to fraction form
    492.11/679.08 = 295.73/x
  3. Step 3: Cross multiply
    492.11x = 679.08 × 295.73
  4. Step 4: Simplify right side
    492.11x = 200,819.45
  5. Step 5: Solve for x
    x = 200,819.45/492.11
  6. Step 6: Final answer
    x = 408.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.