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Finding the Fourth Proportional to 379.19, 523.34 and 316.92

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Solution

The fourth proportional to 379.19, 523.34 and 316.92 is: 437.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.19 : 523.34 = 316.92 : x
  2. Step 2: Convert to fraction form
    379.19/523.34 = 316.92/x
  3. Step 3: Cross multiply
    379.19x = 523.34 × 316.92
  4. Step 4: Simplify right side
    379.19x = 165,855.33
  5. Step 5: Solve for x
    x = 165,855.33/379.19
  6. Step 6: Final answer
    x = 437.39

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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.