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Finding the Fourth Proportional to 306.18, 422.42 and 181.85

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Solution

The fourth proportional to 306.18, 422.42 and 181.85 is: 250.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.18 : 422.42 = 181.85 : x
  2. Step 2: Convert to fraction form
    306.18/422.42 = 181.85/x
  3. Step 3: Cross multiply
    306.18x = 422.42 × 181.85
  4. Step 4: Simplify right side
    306.18x = 76,814.06
  5. Step 5: Solve for x
    x = 76,814.06/306.18
  6. Step 6: Final answer
    x = 250.88

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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.