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Finding the Fourth Proportional to 172.78, 238.41 and 106.43

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Solution

The fourth proportional to 172.78, 238.41 and 106.43 is: 146.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.78 : 238.41 = 106.43 : x
  2. Step 2: Convert to fraction form
    172.78/238.41 = 106.43/x
  3. Step 3: Cross multiply
    172.78x = 238.41 × 106.43
  4. Step 4: Simplify right side
    172.78x = 25,372.78
  5. Step 5: Solve for x
    x = 25,372.78/172.78
  6. Step 6: Final answer
    x = 146.85

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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.