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Finding the Fourth Proportional to 180.91, 270.85 and 163.83

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Solution

The fourth proportional to 180.91, 270.85 and 163.83 is: 245.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.91 : 270.85 = 163.83 : x
  2. Step 2: Convert to fraction form
    180.91/270.85 = 163.83/x
  3. Step 3: Cross multiply
    180.91x = 270.85 × 163.83
  4. Step 4: Simplify right side
    180.91x = 44,373.36
  5. Step 5: Solve for x
    x = 44,373.36/180.91
  6. Step 6: Final answer
    x = 245.28

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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.