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Finding the Fourth Proportional to 447.40, 670.26 and 254.44

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Solution

The fourth proportional to 447.40, 670.26 and 254.44 is: 381.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.40 : 670.26 = 254.44 : x
  2. Step 2: Convert to fraction form
    447.40/670.26 = 254.44/x
  3. Step 3: Cross multiply
    447.40x = 670.26 × 254.44
  4. Step 4: Simplify right side
    447.40x = 170,540.95
  5. Step 5: Solve for x
    x = 170,540.95/447.40
  6. Step 6: Final answer
    x = 381.18

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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.