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Finding the Fourth Proportional to 326.75, 449.48 and 313.43

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Solution

The fourth proportional to 326.75, 449.48 and 313.43 is: 431.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.75 : 449.48 = 313.43 : x
  2. Step 2: Convert to fraction form
    326.75/449.48 = 313.43/x
  3. Step 3: Cross multiply
    326.75x = 449.48 × 313.43
  4. Step 4: Simplify right side
    326.75x = 140,878.95
  5. Step 5: Solve for x
    x = 140,878.95/326.75
  6. Step 6: Final answer
    x = 431.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.