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Finding the Fourth Proportional to 485.82, 727.22 and 311.90

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Solution

The fourth proportional to 485.82, 727.22 and 311.90 is: 466.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.82 : 727.22 = 311.90 : x
  2. Step 2: Convert to fraction form
    485.82/727.22 = 311.90/x
  3. Step 3: Cross multiply
    485.82x = 727.22 × 311.90
  4. Step 4: Simplify right side
    485.82x = 226,819.92
  5. Step 5: Solve for x
    x = 226,819.92/485.82
  6. Step 6: Final answer
    x = 466.88

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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.