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Finding the Fourth Proportional to 379.10, 523.42 and 274.38

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Solution

The fourth proportional to 379.10, 523.42 and 274.38 is: 378.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.10 : 523.42 = 274.38 : x
  2. Step 2: Convert to fraction form
    379.10/523.42 = 274.38/x
  3. Step 3: Cross multiply
    379.10x = 523.42 × 274.38
  4. Step 4: Simplify right side
    379.10x = 143,615.98
  5. Step 5: Solve for x
    x = 143,615.98/379.10
  6. Step 6: Final answer
    x = 378.83

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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.