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Finding the Fourth Proportional to 174.20, 259.70 and 163.86

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Solution

The fourth proportional to 174.20, 259.70 and 163.86 is: 244.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.20 : 259.70 = 163.86 : x
  2. Step 2: Convert to fraction form
    174.20/259.70 = 163.86/x
  3. Step 3: Cross multiply
    174.20x = 259.70 × 163.86
  4. Step 4: Simplify right side
    174.20x = 42,553.62
  5. Step 5: Solve for x
    x = 42,553.62/174.20
  6. Step 6: Final answer
    x = 244.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.