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Finding the Fourth Proportional to 104.97, 156.68 and 92.82

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Solution

The fourth proportional to 104.97, 156.68 and 92.82 is: 138.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.97 : 156.68 = 92.82 : x
  2. Step 2: Convert to fraction form
    104.97/156.68 = 92.82/x
  3. Step 3: Cross multiply
    104.97x = 156.68 × 92.82
  4. Step 4: Simplify right side
    104.97x = 14,542.57
  5. Step 5: Solve for x
    x = 14,542.57/104.97
  6. Step 6: Final answer
    x = 138.54

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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.