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Finding the Fourth Proportional to 326.75, 447.65 and 314.45

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Solution

The fourth proportional to 326.75, 447.65 and 314.45 is: 430.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.75 : 447.65 = 314.45 : x
  2. Step 2: Convert to fraction form
    326.75/447.65 = 314.45/x
  3. Step 3: Cross multiply
    326.75x = 447.65 × 314.45
  4. Step 4: Simplify right side
    326.75x = 140,762.09
  5. Step 5: Solve for x
    x = 140,762.09/326.75
  6. Step 6: Final answer
    x = 430.79

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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.