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Finding the Fourth Proportional to 92.09, 138.12 and 31.22

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Solution

The fourth proportional to 92.09, 138.12 and 31.22 is: 46.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.09 : 138.12 = 31.22 : x
  2. Step 2: Convert to fraction form
    92.09/138.12 = 31.22/x
  3. Step 3: Cross multiply
    92.09x = 138.12 × 31.22
  4. Step 4: Simplify right side
    92.09x = 4,311.42
  5. Step 5: Solve for x
    x = 4,311.42/92.09
  6. Step 6: Final answer
    x = 46.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.