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Finding the Fourth Proportional to 301.63, 415.97 and 196.66

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Solution

The fourth proportional to 301.63, 415.97 and 196.66 is: 271.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.63 : 415.97 = 196.66 : x
  2. Step 2: Convert to fraction form
    301.63/415.97 = 196.66/x
  3. Step 3: Cross multiply
    301.63x = 415.97 × 196.66
  4. Step 4: Simplify right side
    301.63x = 81,804.96
  5. Step 5: Solve for x
    x = 81,804.96/301.63
  6. Step 6: Final answer
    x = 271.21

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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.