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Finding the Fourth Proportional to 296.12, 408.78 and 192.68

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Solution

The fourth proportional to 296.12, 408.78 and 192.68 is: 265.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.12 : 408.78 = 192.68 : x
  2. Step 2: Convert to fraction form
    296.12/408.78 = 192.68/x
  3. Step 3: Cross multiply
    296.12x = 408.78 × 192.68
  4. Step 4: Simplify right side
    296.12x = 78,763.73
  5. Step 5: Solve for x
    x = 78,763.73/296.12
  6. Step 6: Final answer
    x = 265.99

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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.