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Finding the Fourth Proportional to 447.32, 671.26 and 308.62

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Solution

The fourth proportional to 447.32, 671.26 and 308.62 is: 463.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.32 : 671.26 = 308.62 : x
  2. Step 2: Convert to fraction form
    447.32/671.26 = 308.62/x
  3. Step 3: Cross multiply
    447.32x = 671.26 × 308.62
  4. Step 4: Simplify right side
    447.32x = 207,164.26
  5. Step 5: Solve for x
    x = 207,164.26/447.32
  6. Step 6: Final answer
    x = 463.12

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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.