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Finding the Fourth Proportional to 172.20, 236.16 and 166.08

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Solution

The fourth proportional to 172.20, 236.16 and 166.08 is: 227.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.20 : 236.16 = 166.08 : x
  2. Step 2: Convert to fraction form
    172.20/236.16 = 166.08/x
  3. Step 3: Cross multiply
    172.20x = 236.16 × 166.08
  4. Step 4: Simplify right side
    172.20x = 39,221.45
  5. Step 5: Solve for x
    x = 39,221.45/172.20
  6. Step 6: Final answer
    x = 227.77

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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.