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Finding the Fourth Proportional to 379.74, 523.17 and 281.37

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Solution

The fourth proportional to 379.74, 523.17 and 281.37 is: 387.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.74 : 523.17 = 281.37 : x
  2. Step 2: Convert to fraction form
    379.74/523.17 = 281.37/x
  3. Step 3: Cross multiply
    379.74x = 523.17 × 281.37
  4. Step 4: Simplify right side
    379.74x = 147,204.34
  5. Step 5: Solve for x
    x = 147,204.34/379.74
  6. Step 6: Final answer
    x = 387.65

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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.