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Finding the Fourth Proportional to 379.20, 522.18 and 369.12

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Solution

The fourth proportional to 379.20, 522.18 and 369.12 is: 508.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.20 : 522.18 = 369.12 : x
  2. Step 2: Convert to fraction form
    379.20/522.18 = 369.12/x
  3. Step 3: Cross multiply
    379.20x = 522.18 × 369.12
  4. Step 4: Simplify right side
    379.20x = 192,747.08
  5. Step 5: Solve for x
    x = 192,747.08/379.20
  6. Step 6: Final answer
    x = 508.30

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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.