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Finding the Fourth Proportional to 326.90, 486.86 and 323.12

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Solution

The fourth proportional to 326.90, 486.86 and 323.12 is: 481.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.90 : 486.86 = 323.12 : x
  2. Step 2: Convert to fraction form
    326.90/486.86 = 323.12/x
  3. Step 3: Cross multiply
    326.90x = 486.86 × 323.12
  4. Step 4: Simplify right side
    326.90x = 157,314.20
  5. Step 5: Solve for x
    x = 157,314.20/326.90
  6. Step 6: Final answer
    x = 481.23

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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.