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Finding the Fourth Proportional to 92.27, 138.42 and 60.14

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Solution

The fourth proportional to 92.27, 138.42 and 60.14 is: 90.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.27 : 138.42 = 60.14 : x
  2. Step 2: Convert to fraction form
    92.27/138.42 = 60.14/x
  3. Step 3: Cross multiply
    92.27x = 138.42 × 60.14
  4. Step 4: Simplify right side
    92.27x = 8,324.58
  5. Step 5: Solve for x
    x = 8,324.58/92.27
  6. Step 6: Final answer
    x = 90.22

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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.