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Finding the Fourth Proportional to 629.49, 943.93 and 218.65

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Solution

The fourth proportional to 629.49, 943.93 and 218.65 is: 327.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.49 : 943.93 = 218.65 : x
  2. Step 2: Convert to fraction form
    629.49/943.93 = 218.65/x
  3. Step 3: Cross multiply
    629.49x = 943.93 × 218.65
  4. Step 4: Simplify right side
    629.49x = 206,390.29
  5. Step 5: Solve for x
    x = 206,390.29/629.49
  6. Step 6: Final answer
    x = 327.87

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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.