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Finding the Fourth Proportional to 419.62, 629.40 and 227.25

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Solution

The fourth proportional to 419.62, 629.40 and 227.25 is: 340.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.62 : 629.40 = 227.25 : x
  2. Step 2: Convert to fraction form
    419.62/629.40 = 227.25/x
  3. Step 3: Cross multiply
    419.62x = 629.40 × 227.25
  4. Step 4: Simplify right side
    419.62x = 143,031.15
  5. Step 5: Solve for x
    x = 143,031.15/419.62
  6. Step 6: Final answer
    x = 340.86

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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.