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Finding the Fourth Proportional to 93.80, 128.92 and 82.82

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Solution

The fourth proportional to 93.80, 128.92 and 82.82 is: 113.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.80 : 128.92 = 82.82 : x
  2. Step 2: Convert to fraction form
    93.80/128.92 = 82.82/x
  3. Step 3: Cross multiply
    93.80x = 128.92 × 82.82
  4. Step 4: Simplify right side
    93.80x = 10,677.15
  5. Step 5: Solve for x
    x = 10,677.15/93.80
  6. Step 6: Final answer
    x = 113.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.