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Finding the Fourth Proportional to 306.21, 422.57 and 166.33

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Solution

The fourth proportional to 306.21, 422.57 and 166.33 is: 229.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.21 : 422.57 = 166.33 : x
  2. Step 2: Convert to fraction form
    306.21/422.57 = 166.33/x
  3. Step 3: Cross multiply
    306.21x = 422.57 × 166.33
  4. Step 4: Simplify right side
    306.21x = 70,283.47
  5. Step 5: Solve for x
    x = 70,283.47/306.21
  6. Step 6: Final answer
    x = 229.53

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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.