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Finding the Fourth Proportional to 492.80, 680.13 and 296.28

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Solution

The fourth proportional to 492.80, 680.13 and 296.28 is: 408.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.80 : 680.13 = 296.28 : x
  2. Step 2: Convert to fraction form
    492.80/680.13 = 296.28/x
  3. Step 3: Cross multiply
    492.80x = 680.13 × 296.28
  4. Step 4: Simplify right side
    492.80x = 201,508.92
  5. Step 5: Solve for x
    x = 201,508.92/492.80
  6. Step 6: Final answer
    x = 408.91

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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.