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Finding the Fourth Proportional to 419.76, 629.72 and 127.24

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Solution

The fourth proportional to 419.76, 629.72 and 127.24 is: 190.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.76 : 629.72 = 127.24 : x
  2. Step 2: Convert to fraction form
    419.76/629.72 = 127.24/x
  3. Step 3: Cross multiply
    419.76x = 629.72 × 127.24
  4. Step 4: Simplify right side
    419.76x = 80,125.57
  5. Step 5: Solve for x
    x = 80,125.57/419.76
  6. Step 6: Final answer
    x = 190.88

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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.