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Finding the Fourth Proportional to 379.10, 568.64 and 105.19

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Solution

The fourth proportional to 379.10, 568.64 and 105.19 is: 157.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.10 : 568.64 = 105.19 : x
  2. Step 2: Convert to fraction form
    379.10/568.64 = 105.19/x
  3. Step 3: Cross multiply
    379.10x = 568.64 × 105.19
  4. Step 4: Simplify right side
    379.10x = 59,813.29
  5. Step 5: Solve for x
    x = 59,813.29/379.10
  6. Step 6: Final answer
    x = 157.78

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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.