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Finding the Fourth Proportional to 92.21, 137.82 and 84.92

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Solution

The fourth proportional to 92.21, 137.82 and 84.92 is: 126.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.21 : 137.82 = 84.92 : x
  2. Step 2: Convert to fraction form
    92.21/137.82 = 84.92/x
  3. Step 3: Cross multiply
    92.21x = 137.82 × 84.92
  4. Step 4: Simplify right side
    92.21x = 11,702.77
  5. Step 5: Solve for x
    x = 11,702.77/92.21
  6. Step 6: Final answer
    x = 126.91

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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.