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Finding the Fourth Proportional to 322.56, 481.77 and 254.16

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Solution

The fourth proportional to 322.56, 481.77 and 254.16 is: 379.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.56 : 481.77 = 254.16 : x
  2. Step 2: Convert to fraction form
    322.56/481.77 = 254.16/x
  3. Step 3: Cross multiply
    322.56x = 481.77 × 254.16
  4. Step 4: Simplify right side
    322.56x = 122,446.66
  5. Step 5: Solve for x
    x = 122,446.66/322.56
  6. Step 6: Final answer
    x = 379.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.