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Finding the Fourth Proportional to 379.65, 569.42 and 105.72

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Solution

The fourth proportional to 379.65, 569.42 and 105.72 is: 158.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.65 : 569.42 = 105.72 : x
  2. Step 2: Convert to fraction form
    379.65/569.42 = 105.72/x
  3. Step 3: Cross multiply
    379.65x = 569.42 × 105.72
  4. Step 4: Simplify right side
    379.65x = 60,198.55
  5. Step 5: Solve for x
    x = 60,198.55/379.65
  6. Step 6: Final answer
    x = 158.56

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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.