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Finding the Fourth Proportional to 138.37, 190.79 and 112.07

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Solution

The fourth proportional to 138.37, 190.79 and 112.07 is: 154.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.37 : 190.79 = 112.07 : x
  2. Step 2: Convert to fraction form
    138.37/190.79 = 112.07/x
  3. Step 3: Cross multiply
    138.37x = 190.79 × 112.07
  4. Step 4: Simplify right side
    138.37x = 21,381.84
  5. Step 5: Solve for x
    x = 21,381.84/138.37
  6. Step 6: Final answer
    x = 154.53

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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.