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Finding the Fourth Proportional to 92.09, 138.17 and 38.00

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Solution

The fourth proportional to 92.09, 138.17 and 38.00 is: 57.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.09 : 138.17 = 38.00 : x
  2. Step 2: Convert to fraction form
    92.09/138.17 = 38.00/x
  3. Step 3: Cross multiply
    92.09x = 138.17 × 38.00
  4. Step 4: Simplify right side
    92.09x = 5,249.58
  5. Step 5: Solve for x
    x = 5,249.58/92.09
  6. Step 6: Final answer
    x = 57.01

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