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Finding the Fourth Proportional to 419.89, 629.64 and 159.94

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Solution

The fourth proportional to 419.89, 629.64 and 159.94 is: 239.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.89 : 629.64 = 159.94 : x
  2. Step 2: Convert to fraction form
    419.89/629.64 = 159.94/x
  3. Step 3: Cross multiply
    419.89x = 629.64 × 159.94
  4. Step 4: Simplify right side
    419.89x = 100,704.62
  5. Step 5: Solve for x
    x = 100,704.62/419.89
  6. Step 6: Final answer
    x = 239.84

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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.