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Finding the Fourth Proportional to 326.50, 447.31 and 314.20

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Solution

The fourth proportional to 326.50, 447.31 and 314.20 is: 430.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.50 : 447.31 = 314.20 : x
  2. Step 2: Convert to fraction form
    326.50/447.31 = 314.20/x
  3. Step 3: Cross multiply
    326.50x = 447.31 × 314.20
  4. Step 4: Simplify right side
    326.50x = 140,544.80
  5. Step 5: Solve for x
    x = 140,544.80/326.50
  6. Step 6: Final answer
    x = 430.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.