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Finding the Fourth Proportional to 105.67, 157.75 and 92

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Solution

The fourth proportional to 105.67, 157.75 and 92 is: 137.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.67 : 157.75 = 92 : x
  2. Step 2: Convert to fraction form
    105.67/157.75 = 92/x
  3. Step 3: Cross multiply
    105.67x = 157.75 × 92
  4. Step 4: Simplify right side
    105.67x = 14,512.54
  5. Step 5: Solve for x
    x = 14,512.54/105.67
  6. Step 6: Final answer
    x = 137.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.