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Finding the Fourth Proportional to 138, 190.38 and 85.54

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Solution

The fourth proportional to 138, 190.38 and 85.54 is: 118.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    138 : 190.38 = 85.54 : x
  2. Step 2: Convert to fraction form
    138/190.38 = 85.54/x
  3. Step 3: Cross multiply
    138x = 190.38 × 85.54
  4. Step 4: Simplify right side
    138x = 16,285.11
  5. Step 5: Solve for x
    x = 16,285.11/138
  6. Step 6: Final answer
    x = 118.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.