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Finding the Fourth Proportional to 172.80, 260.42 and 169.43

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Solution

The fourth proportional to 172.80, 260.42 and 169.43 is: 255.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.80 : 260.42 = 169.43 : x
  2. Step 2: Convert to fraction form
    172.80/260.42 = 169.43/x
  3. Step 3: Cross multiply
    172.80x = 260.42 × 169.43
  4. Step 4: Simplify right side
    172.80x = 44,120.81
  5. Step 5: Solve for x
    x = 44,120.81/172.80
  6. Step 6: Final answer
    x = 255.33

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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.