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Finding the Fourth Proportional to 296.08, 408.20 and 208.72

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Solution

The fourth proportional to 296.08, 408.20 and 208.72 is: 287.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.08 : 408.20 = 208.72 : x
  2. Step 2: Convert to fraction form
    296.08/408.20 = 208.72/x
  3. Step 3: Cross multiply
    296.08x = 408.20 × 208.72
  4. Step 4: Simplify right side
    296.08x = 85,199.50
  5. Step 5: Solve for x
    x = 85,199.50/296.08
  6. Step 6: Final answer
    x = 287.76

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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.