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Finding the Fourth Proportional to 138, 190.50 and 108.84

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Solution

The fourth proportional to 138, 190.50 and 108.84 is: 150.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    138 : 190.50 = 108.84 : x
  2. Step 2: Convert to fraction form
    138/190.50 = 108.84/x
  3. Step 3: Cross multiply
    138x = 190.50 × 108.84
  4. Step 4: Simplify right side
    138x = 20,734.02
  5. Step 5: Solve for x
    x = 20,734.02/138
  6. Step 6: Final answer
    x = 150.25

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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.