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Finding the Fourth Proportional to 306.31, 422.69 and 166.42

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Solution

The fourth proportional to 306.31, 422.69 and 166.42 is: 229.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.31 : 422.69 = 166.42 : x
  2. Step 2: Convert to fraction form
    306.31/422.69 = 166.42/x
  3. Step 3: Cross multiply
    306.31x = 422.69 × 166.42
  4. Step 4: Simplify right side
    306.31x = 70,344.07
  5. Step 5: Solve for x
    x = 70,344.07/306.31
  6. Step 6: Final answer
    x = 229.65

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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.