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Finding the Fourth Proportional to 326.71, 451.42 and 285.20

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Solution

The fourth proportional to 326.71, 451.42 and 285.20 is: 394.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.71 : 451.42 = 285.20 : x
  2. Step 2: Convert to fraction form
    326.71/451.42 = 285.20/x
  3. Step 3: Cross multiply
    326.71x = 451.42 × 285.20
  4. Step 4: Simplify right side
    326.71x = 128,744.04
  5. Step 5: Solve for x
    x = 128,744.04/326.71
  6. Step 6: Final answer
    x = 394.06

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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.