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Finding the Fourth Proportional to 92.28, 137.78 and 86.82

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Solution

The fourth proportional to 92.28, 137.78 and 86.82 is: 129.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.28 : 137.78 = 86.82 : x
  2. Step 2: Convert to fraction form
    92.28/137.78 = 86.82/x
  3. Step 3: Cross multiply
    92.28x = 137.78 × 86.82
  4. Step 4: Simplify right side
    92.28x = 11,961.63
  5. Step 5: Solve for x
    x = 11,961.63/92.28
  6. Step 6: Final answer
    x = 129.62

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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.