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Finding the Fourth Proportional to 379.68, 569.43 and 105.78

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Solution

The fourth proportional to 379.68, 569.43 and 105.78 is: 158.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.68 : 569.43 = 105.78 : x
  2. Step 2: Convert to fraction form
    379.68/569.43 = 105.78/x
  3. Step 3: Cross multiply
    379.68x = 569.43 × 105.78
  4. Step 4: Simplify right side
    379.68x = 60,234.31
  5. Step 5: Solve for x
    x = 60,234.31/379.68
  6. Step 6: Final answer
    x = 158.64

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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.