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Finding the Fourth Proportional to 105.92, 157.93 and 94.22

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Solution

The fourth proportional to 105.92, 157.93 and 94.22 is: 140.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.92 : 157.93 = 94.22 : x
  2. Step 2: Convert to fraction form
    105.92/157.93 = 94.22/x
  3. Step 3: Cross multiply
    105.92x = 157.93 × 94.22
  4. Step 4: Simplify right side
    105.92x = 14,880.16
  5. Step 5: Solve for x
    x = 14,880.16/105.92
  6. Step 6: Final answer
    x = 140.48

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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.