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Finding the Fourth Proportional to 306.08, 422.16 and 207.80

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Solution

The fourth proportional to 306.08, 422.16 and 207.80 is: 286.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.08 : 422.16 = 207.80 : x
  2. Step 2: Convert to fraction form
    306.08/422.16 = 207.80/x
  3. Step 3: Cross multiply
    306.08x = 422.16 × 207.80
  4. Step 4: Simplify right side
    306.08x = 87,724.85
  5. Step 5: Solve for x
    x = 87,724.85/306.08
  6. Step 6: Final answer
    x = 286.61

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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.