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Finding the Fourth Proportional to 325.56, 488 and 119.92

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Solution

The fourth proportional to 325.56, 488 and 119.92 is: 179.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.56 : 488 = 119.92 : x
  2. Step 2: Convert to fraction form
    325.56/488 = 119.92/x
  3. Step 3: Cross multiply
    325.56x = 488 × 119.92
  4. Step 4: Simplify right side
    325.56x = 58,520.96
  5. Step 5: Solve for x
    x = 58,520.96/325.56
  6. Step 6: Final answer
    x = 179.75

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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.