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Finding the Fourth Proportional to 447.60, 671.88 and 319.92

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Solution

The fourth proportional to 447.60, 671.88 and 319.92 is: 480.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.60 : 671.88 = 319.92 : x
  2. Step 2: Convert to fraction form
    447.60/671.88 = 319.92/x
  3. Step 3: Cross multiply
    447.60x = 671.88 × 319.92
  4. Step 4: Simplify right side
    447.60x = 214,947.85
  5. Step 5: Solve for x
    x = 214,947.85/447.60
  6. Step 6: Final answer
    x = 480.22

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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.