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Finding the Fourth Proportional to 326.43, 448.02 and 298.62

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Solution

The fourth proportional to 326.43, 448.02 and 298.62 is: 409.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.43 : 448.02 = 298.62 : x
  2. Step 2: Convert to fraction form
    326.43/448.02 = 298.62/x
  3. Step 3: Cross multiply
    326.43x = 448.02 × 298.62
  4. Step 4: Simplify right side
    326.43x = 133,787.73
  5. Step 5: Solve for x
    x = 133,787.73/326.43
  6. Step 6: Final answer
    x = 409.85

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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.