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Finding the Fourth Proportional to 326.74, 492.41 and 294.28

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Solution

The fourth proportional to 326.74, 492.41 and 294.28 is: 443.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.74 : 492.41 = 294.28 : x
  2. Step 2: Convert to fraction form
    326.74/492.41 = 294.28/x
  3. Step 3: Cross multiply
    326.74x = 492.41 × 294.28
  4. Step 4: Simplify right side
    326.74x = 144,906.41
  5. Step 5: Solve for x
    x = 144,906.41/326.74
  6. Step 6: Final answer
    x = 443.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.