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Finding the Fourth Proportional to 306.27, 422.28 and 266.78

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Solution

The fourth proportional to 306.27, 422.28 and 266.78 is: 367.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.27 : 422.28 = 266.78 : x
  2. Step 2: Convert to fraction form
    306.27/422.28 = 266.78/x
  3. Step 3: Cross multiply
    306.27x = 422.28 × 266.78
  4. Step 4: Simplify right side
    306.27x = 112,656.91
  5. Step 5: Solve for x
    x = 112,656.91/306.27
  6. Step 6: Final answer
    x = 367.84

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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.