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Finding the Fourth Proportional to 306.28, 422.72 and 188.28

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Solution

The fourth proportional to 306.28, 422.72 and 188.28 is: 259.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.28 : 422.72 = 188.28 : x
  2. Step 2: Convert to fraction form
    306.28/422.72 = 188.28/x
  3. Step 3: Cross multiply
    306.28x = 422.72 × 188.28
  4. Step 4: Simplify right side
    306.28x = 79,589.72
  5. Step 5: Solve for x
    x = 79,589.72/306.28
  6. Step 6: Final answer
    x = 259.86

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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.