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Finding the Fourth Proportional to 321.09, 481.60 and 213.58

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Solution

The fourth proportional to 321.09, 481.60 and 213.58 is: 320.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.09 : 481.60 = 213.58 : x
  2. Step 2: Convert to fraction form
    321.09/481.60 = 213.58/x
  3. Step 3: Cross multiply
    321.09x = 481.60 × 213.58
  4. Step 4: Simplify right side
    321.09x = 102,860.13
  5. Step 5: Solve for x
    x = 102,860.13/321.09
  6. Step 6: Final answer
    x = 320.35

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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.