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Finding the Fourth Proportional to 379.26, 522.18 and 337.95

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Solution

The fourth proportional to 379.26, 522.18 and 337.95 is: 465.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.26 : 522.18 = 337.95 : x
  2. Step 2: Convert to fraction form
    379.26/522.18 = 337.95/x
  3. Step 3: Cross multiply
    379.26x = 522.18 × 337.95
  4. Step 4: Simplify right side
    379.26x = 176,470.73
  5. Step 5: Solve for x
    x = 176,470.73/379.26
  6. Step 6: Final answer
    x = 465.30

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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.