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Finding the Fourth Proportional to 306.39, 422.79 and 180.34

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Solution

The fourth proportional to 306.39, 422.79 and 180.34 is: 248.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.39 : 422.79 = 180.34 : x
  2. Step 2: Convert to fraction form
    306.39/422.79 = 180.34/x
  3. Step 3: Cross multiply
    306.39x = 422.79 × 180.34
  4. Step 4: Simplify right side
    306.39x = 76,242.93
  5. Step 5: Solve for x
    x = 76,242.93/306.39
  6. Step 6: Final answer
    x = 248.85

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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.