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Finding the Fourth Proportional to 92.11, 138.13 and 31.23

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Solution

The fourth proportional to 92.11, 138.13 and 31.23 is: 46.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.11 : 138.13 = 31.23 : x
  2. Step 2: Convert to fraction form
    92.11/138.13 = 31.23/x
  3. Step 3: Cross multiply
    92.11x = 138.13 × 31.23
  4. Step 4: Simplify right side
    92.11x = 4,313.80
  5. Step 5: Solve for x
    x = 4,313.80/92.11
  6. Step 6: Final answer
    x = 46.83

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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.