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Finding the Fourth Proportional to 172.12, 236.78 and 150.20

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Solution

The fourth proportional to 172.12, 236.78 and 150.20 is: 206.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.12 : 236.78 = 150.20 : x
  2. Step 2: Convert to fraction form
    172.12/236.78 = 150.20/x
  3. Step 3: Cross multiply
    172.12x = 236.78 × 150.20
  4. Step 4: Simplify right side
    172.12x = 35,564.36
  5. Step 5: Solve for x
    x = 35,564.36/172.12
  6. Step 6: Final answer
    x = 206.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.