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Finding the Fourth Proportional to 379.31, 522.83 and 296.27

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Solution

The fourth proportional to 379.31, 522.83 and 296.27 is: 408.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.31 : 522.83 = 296.27 : x
  2. Step 2: Convert to fraction form
    379.31/522.83 = 296.27/x
  3. Step 3: Cross multiply
    379.31x = 522.83 × 296.27
  4. Step 4: Simplify right side
    379.31x = 154,898.83
  5. Step 5: Solve for x
    x = 154,898.83/379.31
  6. Step 6: Final answer
    x = 408.37

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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.