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Finding the Fourth Proportional to 379.70, 523.96 and 213.94

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Solution

The fourth proportional to 379.70, 523.96 and 213.94 is: 295.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.70 : 523.96 = 213.94 : x
  2. Step 2: Convert to fraction form
    379.70/523.96 = 213.94/x
  3. Step 3: Cross multiply
    379.70x = 523.96 × 213.94
  4. Step 4: Simplify right side
    379.70x = 112,096.00
  5. Step 5: Solve for x
    x = 112,096.00/379.70
  6. Step 6: Final answer
    x = 295.22

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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.