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Finding the Fourth Proportional to 629.75, 944.71 and 196.94

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Solution

The fourth proportional to 629.75, 944.71 and 196.94 is: 295.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.75 : 944.71 = 196.94 : x
  2. Step 2: Convert to fraction form
    629.75/944.71 = 196.94/x
  3. Step 3: Cross multiply
    629.75x = 944.71 × 196.94
  4. Step 4: Simplify right side
    629.75x = 186,051.19
  5. Step 5: Solve for x
    x = 186,051.19/629.75
  6. Step 6: Final answer
    x = 295.44

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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.