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Finding the Fourth Proportional to 306.08, 422.44 and 195.59

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Solution

The fourth proportional to 306.08, 422.44 and 195.59 is: 269.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.08 : 422.44 = 195.59 : x
  2. Step 2: Convert to fraction form
    306.08/422.44 = 195.59/x
  3. Step 3: Cross multiply
    306.08x = 422.44 × 195.59
  4. Step 4: Simplify right side
    306.08x = 82,624.06
  5. Step 5: Solve for x
    x = 82,624.06/306.08
  6. Step 6: Final answer
    x = 269.94

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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.