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Finding the Fourth Proportional to 419.74, 629.52 and 131.20

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Solution

The fourth proportional to 419.74, 629.52 and 131.20 is: 196.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.74 : 629.52 = 131.20 : x
  2. Step 2: Convert to fraction form
    419.74/629.52 = 131.20/x
  3. Step 3: Cross multiply
    419.74x = 629.52 × 131.20
  4. Step 4: Simplify right side
    419.74x = 82,593.02
  5. Step 5: Solve for x
    x = 82,593.02/419.74
  6. Step 6: Final answer
    x = 196.77

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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.