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Finding the Fourth Proportional to 419.93, 629.71 and 163.25

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Solution

The fourth proportional to 419.93, 629.71 and 163.25 is: 244.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.93 : 629.71 = 163.25 : x
  2. Step 2: Convert to fraction form
    419.93/629.71 = 163.25/x
  3. Step 3: Cross multiply
    419.93x = 629.71 × 163.25
  4. Step 4: Simplify right side
    419.93x = 102,800.16
  5. Step 5: Solve for x
    x = 102,800.16/419.93
  6. Step 6: Final answer
    x = 244.80

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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.