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Finding the Fourth Proportional to 306.44, 422.16 and 257.60

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Solution

The fourth proportional to 306.44, 422.16 and 257.60 is: 354.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.44 : 422.16 = 257.60 : x
  2. Step 2: Convert to fraction form
    306.44/422.16 = 257.60/x
  3. Step 3: Cross multiply
    306.44x = 422.16 × 257.60
  4. Step 4: Simplify right side
    306.44x = 108,748.42
  5. Step 5: Solve for x
    x = 108,748.42/306.44
  6. Step 6: Final answer
    x = 354.88

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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.