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Finding the Fourth Proportional to 306.30, 422.54 and 251.26

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Solution

The fourth proportional to 306.30, 422.54 and 251.26 is: 346.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.30 : 422.54 = 251.26 : x
  2. Step 2: Convert to fraction form
    306.30/422.54 = 251.26/x
  3. Step 3: Cross multiply
    306.30x = 422.54 × 251.26
  4. Step 4: Simplify right side
    306.30x = 106,167.40
  5. Step 5: Solve for x
    x = 106,167.40/306.30
  6. Step 6: Final answer
    x = 346.61

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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.