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Finding the Fourth Proportional to 306.17, 422.85 and 207.75

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Solution

The fourth proportional to 306.17, 422.85 and 207.75 is: 286.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.17 : 422.85 = 207.75 : x
  2. Step 2: Convert to fraction form
    306.17/422.85 = 207.75/x
  3. Step 3: Cross multiply
    306.17x = 422.85 × 207.75
  4. Step 4: Simplify right side
    306.17x = 87,847.09
  5. Step 5: Solve for x
    x = 87,847.09/306.17
  6. Step 6: Final answer
    x = 286.93

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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.