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Finding the Fourth Proportional to 447.74, 671.22 and 311.05

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Solution

The fourth proportional to 447.74, 671.22 and 311.05 is: 466.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.74 : 671.22 = 311.05 : x
  2. Step 2: Convert to fraction form
    447.74/671.22 = 311.05/x
  3. Step 3: Cross multiply
    447.74x = 671.22 × 311.05
  4. Step 4: Simplify right side
    447.74x = 208,779.62
  5. Step 5: Solve for x
    x = 208,779.62/447.74
  6. Step 6: Final answer
    x = 466.30

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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.