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Finding the Fourth Proportional to 92.25, 137.71 and 79.46

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Solution

The fourth proportional to 92.25, 137.71 and 79.46 is: 118.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.25 : 137.71 = 79.46 : x
  2. Step 2: Convert to fraction form
    92.25/137.71 = 79.46/x
  3. Step 3: Cross multiply
    92.25x = 137.71 × 79.46
  4. Step 4: Simplify right side
    92.25x = 10,942.44
  5. Step 5: Solve for x
    x = 10,942.44/92.25
  6. Step 6: Final answer
    x = 118.62

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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.