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Finding the Fourth Proportional to 306.26, 422.81 and 236.17

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Solution

The fourth proportional to 306.26, 422.81 and 236.17 is: 326.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.26 : 422.81 = 236.17 : x
  2. Step 2: Convert to fraction form
    306.26/422.81 = 236.17/x
  3. Step 3: Cross multiply
    306.26x = 422.81 × 236.17
  4. Step 4: Simplify right side
    306.26x = 99,851.74
  5. Step 5: Solve for x
    x = 99,851.74/306.26
  6. Step 6: Final answer
    x = 326.04

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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.