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Finding the Fourth Proportional to 447.58, 671.06 and 197.29

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Solution

The fourth proportional to 447.58, 671.06 and 197.29 is: 295.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.58 : 671.06 = 197.29 : x
  2. Step 2: Convert to fraction form
    447.58/671.06 = 197.29/x
  3. Step 3: Cross multiply
    447.58x = 671.06 × 197.29
  4. Step 4: Simplify right side
    447.58x = 132,394.12
  5. Step 5: Solve for x
    x = 132,394.12/447.58
  6. Step 6: Final answer
    x = 295.80

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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.