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Finding the Fourth Proportional to 474.38, 711.66 and 196.75

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Solution

The fourth proportional to 474.38, 711.66 and 196.75 is: 295.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.38 : 711.66 = 196.75 : x
  2. Step 2: Convert to fraction form
    474.38/711.66 = 196.75/x
  3. Step 3: Cross multiply
    474.38x = 711.66 × 196.75
  4. Step 4: Simplify right side
    474.38x = 140,020.73
  5. Step 5: Solve for x
    x = 140,020.73/474.38
  6. Step 6: Final answer
    x = 295.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.