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Finding the Fourth Proportional to 379.96, 570.16 and 163.56

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Solution

The fourth proportional to 379.96, 570.16 and 163.56 is: 245.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.96 : 570.16 = 163.56 : x
  2. Step 2: Convert to fraction form
    379.96/570.16 = 163.56/x
  3. Step 3: Cross multiply
    379.96x = 570.16 × 163.56
  4. Step 4: Simplify right side
    379.96x = 93,255.37
  5. Step 5: Solve for x
    x = 93,255.37/379.96
  6. Step 6: Final answer
    x = 245.43

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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.