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Finding the Fourth Proportional to 301.14, 415.42 and 196.22

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Solution

The fourth proportional to 301.14, 415.42 and 196.22 is: 270.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.14 : 415.42 = 196.22 : x
  2. Step 2: Convert to fraction form
    301.14/415.42 = 196.22/x
  3. Step 3: Cross multiply
    301.14x = 415.42 × 196.22
  4. Step 4: Simplify right side
    301.14x = 81,513.71
  5. Step 5: Solve for x
    x = 81,513.71/301.14
  6. Step 6: Final answer
    x = 270.68

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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.