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Finding the Fourth Proportional to 296.26, 408.44 and 208.78

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Solution

The fourth proportional to 296.26, 408.44 and 208.78 is: 287.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.26 : 408.44 = 208.78 : x
  2. Step 2: Convert to fraction form
    296.26/408.44 = 208.78/x
  3. Step 3: Cross multiply
    296.26x = 408.44 × 208.78
  4. Step 4: Simplify right side
    296.26x = 85,274.10
  5. Step 5: Solve for x
    x = 85,274.10/296.26
  6. Step 6: Final answer
    x = 287.84

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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.