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Finding the Fourth Proportional to 306.78, 422.40 and 269.76

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Solution

The fourth proportional to 306.78, 422.40 and 269.76 is: 371.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.78 : 422.40 = 269.76 : x
  2. Step 2: Convert to fraction form
    306.78/422.40 = 269.76/x
  3. Step 3: Cross multiply
    306.78x = 422.40 × 269.76
  4. Step 4: Simplify right side
    306.78x = 113,946.62
  5. Step 5: Solve for x
    x = 113,946.62/306.78
  6. Step 6: Final answer
    x = 371.43

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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.