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Finding the Fourth Proportional to 492.11, 679.20 and 295.82

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Solution

The fourth proportional to 492.11, 679.20 and 295.82 is: 408.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.11 : 679.20 = 295.82 : x
  2. Step 2: Convert to fraction form
    492.11/679.20 = 295.82/x
  3. Step 3: Cross multiply
    492.11x = 679.20 × 295.82
  4. Step 4: Simplify right side
    492.11x = 200,921.53
  5. Step 5: Solve for x
    x = 200,921.53/492.11
  6. Step 6: Final answer
    x = 408.28

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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.