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Finding the Fourth Proportional to 326.20, 451.02 and 285.21

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Solution

The fourth proportional to 326.20, 451.02 and 285.21 is: 394.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.20 : 451.02 = 285.21 : x
  2. Step 2: Convert to fraction form
    326.20/451.02 = 285.21/x
  3. Step 3: Cross multiply
    326.20x = 451.02 × 285.21
  4. Step 4: Simplify right side
    326.20x = 128,635.41
  5. Step 5: Solve for x
    x = 128,635.41/326.20
  6. Step 6: Final answer
    x = 394.35

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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.