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Finding the Fourth Proportional to 419.56, 629.18 and 227.08

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Solution

The fourth proportional to 419.56, 629.18 and 227.08 is: 340.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.56 : 629.18 = 227.08 : x
  2. Step 2: Convert to fraction form
    419.56/629.18 = 227.08/x
  3. Step 3: Cross multiply
    419.56x = 629.18 × 227.08
  4. Step 4: Simplify right side
    419.56x = 142,874.19
  5. Step 5: Solve for x
    x = 142,874.19/419.56
  6. Step 6: Final answer
    x = 340.53

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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.