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Finding the Fourth Proportional to 378.46, 521.02 and 326.69

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Solution

The fourth proportional to 378.46, 521.02 and 326.69 is: 449.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.46 : 521.02 = 326.69 : x
  2. Step 2: Convert to fraction form
    378.46/521.02 = 326.69/x
  3. Step 3: Cross multiply
    378.46x = 521.02 × 326.69
  4. Step 4: Simplify right side
    378.46x = 170,211.78
  5. Step 5: Solve for x
    x = 170,211.78/378.46
  6. Step 6: Final answer
    x = 449.75

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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.