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Finding the Fourth Proportional to 629.65, 944.40 and 196.75

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Solution

The fourth proportional to 629.65, 944.40 and 196.75 is: 295.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.65 : 944.40 = 196.75 : x
  2. Step 2: Convert to fraction form
    629.65/944.40 = 196.75/x
  3. Step 3: Cross multiply
    629.65x = 944.40 × 196.75
  4. Step 4: Simplify right side
    629.65x = 185,810.70
  5. Step 5: Solve for x
    x = 185,810.70/629.65
  6. Step 6: Final answer
    x = 295.10

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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.