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Finding the Fourth Proportional to 325.22, 487.92 and 105.86

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Solution

The fourth proportional to 325.22, 487.92 and 105.86 is: 158.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.22 : 487.92 = 105.86 : x
  2. Step 2: Convert to fraction form
    325.22/487.92 = 105.86/x
  3. Step 3: Cross multiply
    325.22x = 487.92 × 105.86
  4. Step 4: Simplify right side
    325.22x = 51,651.21
  5. Step 5: Solve for x
    x = 51,651.21/325.22
  6. Step 6: Final answer
    x = 158.82

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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.