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Finding the Fourth Proportional to 379.08, 522.27 and 268.38

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Solution

The fourth proportional to 379.08, 522.27 and 268.38 is: 369.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.08 : 522.27 = 268.38 : x
  2. Step 2: Convert to fraction form
    379.08/522.27 = 268.38/x
  3. Step 3: Cross multiply
    379.08x = 522.27 × 268.38
  4. Step 4: Simplify right side
    379.08x = 140,166.82
  5. Step 5: Solve for x
    x = 140,166.82/379.08
  6. Step 6: Final answer
    x = 369.76

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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.