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Finding the Fourth Proportional to 447.52, 670.41 and 264.55

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Solution

The fourth proportional to 447.52, 670.41 and 264.55 is: 396.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.52 : 670.41 = 264.55 : x
  2. Step 2: Convert to fraction form
    447.52/670.41 = 264.55/x
  3. Step 3: Cross multiply
    447.52x = 670.41 × 264.55
  4. Step 4: Simplify right side
    447.52x = 177,356.97
  5. Step 5: Solve for x
    x = 177,356.97/447.52
  6. Step 6: Final answer
    x = 396.31

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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.