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Finding the Fourth Proportional to 419.88, 629.81 and 163.38

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Solution

The fourth proportional to 419.88, 629.81 and 163.38 is: 245.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.88 : 629.81 = 163.38 : x
  2. Step 2: Convert to fraction form
    419.88/629.81 = 163.38/x
  3. Step 3: Cross multiply
    419.88x = 629.81 × 163.38
  4. Step 4: Simplify right side
    419.88x = 102,898.36
  5. Step 5: Solve for x
    x = 102,898.36/419.88
  6. Step 6: Final answer
    x = 245.07

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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.