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Finding the Fourth Proportional to 172.28, 237.79 and 105.91

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Solution

The fourth proportional to 172.28, 237.79 and 105.91 is: 146.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.28 : 237.79 = 105.91 : x
  2. Step 2: Convert to fraction form
    172.28/237.79 = 105.91/x
  3. Step 3: Cross multiply
    172.28x = 237.79 × 105.91
  4. Step 4: Simplify right side
    172.28x = 25,183.28
  5. Step 5: Solve for x
    x = 25,183.28/172.28
  6. Step 6: Final answer
    x = 146.18

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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.