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Finding the Fourth Proportional to 492.82, 680.17 and 296.33

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Solution

The fourth proportional to 492.82, 680.17 and 296.33 is: 408.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.82 : 680.17 = 296.33 : x
  2. Step 2: Convert to fraction form
    492.82/680.17 = 296.33/x
  3. Step 3: Cross multiply
    492.82x = 680.17 × 296.33
  4. Step 4: Simplify right side
    492.82x = 201,557.76
  5. Step 5: Solve for x
    x = 201,557.76/492.82
  6. Step 6: Final answer
    x = 408.99

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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.