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Finding the Fourth Proportional to 172.11, 236.20 and 154.22

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Solution

The fourth proportional to 172.11, 236.20 and 154.22 is: 211.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.11 : 236.20 = 154.22 : x
  2. Step 2: Convert to fraction form
    172.11/236.20 = 154.22/x
  3. Step 3: Cross multiply
    172.11x = 236.20 × 154.22
  4. Step 4: Simplify right side
    172.11x = 36,426.76
  5. Step 5: Solve for x
    x = 36,426.76/172.11
  6. Step 6: Final answer
    x = 211.65

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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.