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Finding the Fourth Proportional to 296.18, 408.36 and 208.70

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Solution

The fourth proportional to 296.18, 408.36 and 208.70 is: 287.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.18 : 408.36 = 208.70 : x
  2. Step 2: Convert to fraction form
    296.18/408.36 = 208.70/x
  3. Step 3: Cross multiply
    296.18x = 408.36 × 208.70
  4. Step 4: Simplify right side
    296.18x = 85,221.65
  5. Step 5: Solve for x
    x = 85,221.65/296.18
  6. Step 6: Final answer
    x = 287.74

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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.