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Finding the Fourth Proportional to 419.44, 628.06 and 254.20

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Solution

The fourth proportional to 419.44, 628.06 and 254.20 is: 380.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.44 : 628.06 = 254.20 : x
  2. Step 2: Convert to fraction form
    419.44/628.06 = 254.20/x
  3. Step 3: Cross multiply
    419.44x = 628.06 × 254.20
  4. Step 4: Simplify right side
    419.44x = 159,652.85
  5. Step 5: Solve for x
    x = 159,652.85/419.44
  6. Step 6: Final answer
    x = 380.63

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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.