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Finding the Fourth Proportional to 301.26, 415.81 and 196.17

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Solution

The fourth proportional to 301.26, 415.81 and 196.17 is: 270.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.26 : 415.81 = 196.17 : x
  2. Step 2: Convert to fraction form
    301.26/415.81 = 196.17/x
  3. Step 3: Cross multiply
    301.26x = 415.81 × 196.17
  4. Step 4: Simplify right side
    301.26x = 81,569.45
  5. Step 5: Solve for x
    x = 81,569.45/301.26
  6. Step 6: Final answer
    x = 270.76

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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.