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Finding the Fourth Proportional to 379.52, 569.20 and 119.49

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Solution

The fourth proportional to 379.52, 569.20 and 119.49 is: 179.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.52 : 569.20 = 119.49 : x
  2. Step 2: Convert to fraction form
    379.52/569.20 = 119.49/x
  3. Step 3: Cross multiply
    379.52x = 569.20 × 119.49
  4. Step 4: Simplify right side
    379.52x = 68,013.86
  5. Step 5: Solve for x
    x = 68,013.86/379.52
  6. Step 6: Final answer
    x = 179.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.