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Finding the Fourth Proportional to 92.06, 138.14 and 49.31

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Solution

The fourth proportional to 92.06, 138.14 and 49.31 is: 73.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.06 : 138.14 = 49.31 : x
  2. Step 2: Convert to fraction form
    92.06/138.14 = 49.31/x
  3. Step 3: Cross multiply
    92.06x = 138.14 × 49.31
  4. Step 4: Simplify right side
    92.06x = 6,811.68
  5. Step 5: Solve for x
    x = 6,811.68/92.06
  6. Step 6: Final answer
    x = 73.99

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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.