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Finding the Fourth Proportional to 321.96, 480.88 and 218.48

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Solution

The fourth proportional to 321.96, 480.88 and 218.48 is: 326.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.96 : 480.88 = 218.48 : x
  2. Step 2: Convert to fraction form
    321.96/480.88 = 218.48/x
  3. Step 3: Cross multiply
    321.96x = 480.88 × 218.48
  4. Step 4: Simplify right side
    321.96x = 105,062.66
  5. Step 5: Solve for x
    x = 105,062.66/321.96
  6. Step 6: Final answer
    x = 326.32

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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.