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Finding the Fourth Proportional to 305.73, 421.97 and 195.17

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Solution

The fourth proportional to 305.73, 421.97 and 195.17 is: 269.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.73 : 421.97 = 195.17 : x
  2. Step 2: Convert to fraction form
    305.73/421.97 = 195.17/x
  3. Step 3: Cross multiply
    305.73x = 421.97 × 195.17
  4. Step 4: Simplify right side
    305.73x = 82,352.80
  5. Step 5: Solve for x
    x = 82,352.80/305.73
  6. Step 6: Final answer
    x = 269.36

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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.