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Finding the Fourth Proportional to 172.22, 236.26 and 167.02

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Solution

The fourth proportional to 172.22, 236.26 and 167.02 is: 229.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.22 : 236.26 = 167.02 : x
  2. Step 2: Convert to fraction form
    172.22/236.26 = 167.02/x
  3. Step 3: Cross multiply
    172.22x = 236.26 × 167.02
  4. Step 4: Simplify right side
    172.22x = 39,460.35
  5. Step 5: Solve for x
    x = 39,460.35/172.22
  6. Step 6: Final answer
    x = 229.12

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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.