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Finding the Fourth Proportional to 138, 190.36 and 101.12

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Solution

The fourth proportional to 138, 190.36 and 101.12 is: 139.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    138 : 190.36 = 101.12 : x
  2. Step 2: Convert to fraction form
    138/190.36 = 101.12/x
  3. Step 3: Cross multiply
    138x = 190.36 × 101.12
  4. Step 4: Simplify right side
    138x = 19,249.20
  5. Step 5: Solve for x
    x = 19,249.20/138
  6. Step 6: Final answer
    x = 139.49

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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.