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Finding the Fourth Proportional to 419.60, 628.44 and 248.24

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Solution

The fourth proportional to 419.60, 628.44 and 248.24 is: 371.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.60 : 628.44 = 248.24 : x
  2. Step 2: Convert to fraction form
    419.60/628.44 = 248.24/x
  3. Step 3: Cross multiply
    419.60x = 628.44 × 248.24
  4. Step 4: Simplify right side
    419.60x = 156,003.95
  5. Step 5: Solve for x
    x = 156,003.95/419.60
  6. Step 6: Final answer
    x = 371.79

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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.