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Finding the Fourth Proportional to 174.45, 263.22 and 168.87

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Solution

The fourth proportional to 174.45, 263.22 and 168.87 is: 254.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.45 : 263.22 = 168.87 : x
  2. Step 2: Convert to fraction form
    174.45/263.22 = 168.87/x
  3. Step 3: Cross multiply
    174.45x = 263.22 × 168.87
  4. Step 4: Simplify right side
    174.45x = 44,449.96
  5. Step 5: Solve for x
    x = 44,449.96/174.45
  6. Step 6: Final answer
    x = 254.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.