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Finding the Fourth Proportional to 386.28, 576.09 and 379.80

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Solution

The fourth proportional to 386.28, 576.09 and 379.80 is: 566.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.28 : 576.09 = 379.80 : x
  2. Step 2: Convert to fraction form
    386.28/576.09 = 379.80/x
  3. Step 3: Cross multiply
    386.28x = 576.09 × 379.80
  4. Step 4: Simplify right side
    386.28x = 218,798.98
  5. Step 5: Solve for x
    x = 218,798.98/386.28
  6. Step 6: Final answer
    x = 566.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.