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Finding the Fourth Proportional to 306.16, 422.55 and 189.73

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Solution

The fourth proportional to 306.16, 422.55 and 189.73 is: 261.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.16 : 422.55 = 189.73 : x
  2. Step 2: Convert to fraction form
    306.16/422.55 = 189.73/x
  3. Step 3: Cross multiply
    306.16x = 422.55 × 189.73
  4. Step 4: Simplify right side
    306.16x = 80,170.41
  5. Step 5: Solve for x
    x = 80,170.41/306.16
  6. Step 6: Final answer
    x = 261.86

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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.