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Finding the Fourth Proportional to 172.72, 238.28 and 123.67

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Solution

The fourth proportional to 172.72, 238.28 and 123.67 is: 170.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.72 : 238.28 = 123.67 : x
  2. Step 2: Convert to fraction form
    172.72/238.28 = 123.67/x
  3. Step 3: Cross multiply
    172.72x = 238.28 × 123.67
  4. Step 4: Simplify right side
    172.72x = 29,468.09
  5. Step 5: Solve for x
    x = 29,468.09/172.72
  6. Step 6: Final answer
    x = 170.61

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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.