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Finding the Fourth Proportional to 447.57, 671.36 and 204.30

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Solution

The fourth proportional to 447.57, 671.36 and 204.30 is: 306.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.57 : 671.36 = 204.30 : x
  2. Step 2: Convert to fraction form
    447.57/671.36 = 204.30/x
  3. Step 3: Cross multiply
    447.57x = 671.36 × 204.30
  4. Step 4: Simplify right side
    447.57x = 137,157.83
  5. Step 5: Solve for x
    x = 137,157.83/447.57
  6. Step 6: Final answer
    x = 306.45

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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.