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Finding the Fourth Proportional to 326.14, 447.06 and 325.60

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Solution

The fourth proportional to 326.14, 447.06 and 325.60 is: 446.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.14 : 447.06 = 325.60 : x
  2. Step 2: Convert to fraction form
    326.14/447.06 = 325.60/x
  3. Step 3: Cross multiply
    326.14x = 447.06 × 325.60
  4. Step 4: Simplify right side
    326.14x = 145,562.74
  5. Step 5: Solve for x
    x = 145,562.74/326.14
  6. Step 6: Final answer
    x = 446.32

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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.