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Finding the Fourth Proportional to 419.43, 629.28 and 213.83

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Solution

The fourth proportional to 419.43, 629.28 and 213.83 is: 320.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.43 : 629.28 = 213.83 : x
  2. Step 2: Convert to fraction form
    419.43/629.28 = 213.83/x
  3. Step 3: Cross multiply
    419.43x = 629.28 × 213.83
  4. Step 4: Simplify right side
    419.43x = 134,558.94
  5. Step 5: Solve for x
    x = 134,558.94/419.43
  6. Step 6: Final answer
    x = 320.81

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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.