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Finding the Fourth Proportional to 447.44, 670.52 and 255.12

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Solution

The fourth proportional to 447.44, 670.52 and 255.12 is: 382.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.44 : 670.52 = 255.12 : x
  2. Step 2: Convert to fraction form
    447.44/670.52 = 255.12/x
  3. Step 3: Cross multiply
    447.44x = 670.52 × 255.12
  4. Step 4: Simplify right side
    447.44x = 171,063.06
  5. Step 5: Solve for x
    x = 171,063.06/447.44
  6. Step 6: Final answer
    x = 382.32

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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.