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Finding the Fourth Proportional to 629.65, 944.49 and 218.80

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Solution

The fourth proportional to 629.65, 944.49 and 218.80 is: 328.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.65 : 944.49 = 218.80 : x
  2. Step 2: Convert to fraction form
    629.65/944.49 = 218.80/x
  3. Step 3: Cross multiply
    629.65x = 944.49 × 218.80
  4. Step 4: Simplify right side
    629.65x = 206,654.41
  5. Step 5: Solve for x
    x = 206,654.41/629.65
  6. Step 6: Final answer
    x = 328.21

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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.