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Finding the Fourth Proportional to 92.78, 127.55 and 82.84

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Solution

The fourth proportional to 92.78, 127.55 and 82.84 is: 113.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.78 : 127.55 = 82.84 : x
  2. Step 2: Convert to fraction form
    92.78/127.55 = 82.84/x
  3. Step 3: Cross multiply
    92.78x = 127.55 × 82.84
  4. Step 4: Simplify right side
    92.78x = 10,566.24
  5. Step 5: Solve for x
    x = 10,566.24/92.78
  6. Step 6: Final answer
    x = 113.88

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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.