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Finding the Fourth Proportional to 419.69, 629.62 and 131.06

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Solution

The fourth proportional to 419.69, 629.62 and 131.06 is: 196.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.69 : 629.62 = 131.06 : x
  2. Step 2: Convert to fraction form
    419.69/629.62 = 131.06/x
  3. Step 3: Cross multiply
    419.69x = 629.62 × 131.06
  4. Step 4: Simplify right side
    419.69x = 82,519.24
  5. Step 5: Solve for x
    x = 82,519.24/419.69
  6. Step 6: Final answer
    x = 196.62

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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.