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Finding the Fourth Proportional to 461.27, 690.27 and 321.77

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Solution

The fourth proportional to 461.27, 690.27 and 321.77 is: 481.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.27 : 690.27 = 321.77 : x
  2. Step 2: Convert to fraction form
    461.27/690.27 = 321.77/x
  3. Step 3: Cross multiply
    461.27x = 690.27 × 321.77
  4. Step 4: Simplify right side
    461.27x = 222,104.73
  5. Step 5: Solve for x
    x = 222,104.73/461.27
  6. Step 6: Final answer
    x = 481.51

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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.