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Finding the Fourth Proportional to 92.20, 137.09 and 92.20

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Solution

The fourth proportional to 92.20, 137.09 and 92.20 is: 137.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.20 : 137.09 = 92.20 : x
  2. Step 2: Convert to fraction form
    92.20/137.09 = 92.20/x
  3. Step 3: Cross multiply
    92.20x = 137.09 × 92.20
  4. Step 4: Simplify right side
    92.20x = 12,639.70
  5. Step 5: Solve for x
    x = 12,639.70/92.20
  6. Step 6: Final answer
    x = 137.09

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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.