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Finding the Fourth Proportional to 172.86, 236.63 and 169.62

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Solution

The fourth proportional to 172.86, 236.63 and 169.62 is: 232.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.86 : 236.63 = 169.62 : x
  2. Step 2: Convert to fraction form
    172.86/236.63 = 169.62/x
  3. Step 3: Cross multiply
    172.86x = 236.63 × 169.62
  4. Step 4: Simplify right side
    172.86x = 40,137.18
  5. Step 5: Solve for x
    x = 40,137.18/172.86
  6. Step 6: Final answer
    x = 232.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.