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Finding the Fourth Proportional to 138.83, 208.03 and 113.03

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Solution

The fourth proportional to 138.83, 208.03 and 113.03 is: 169.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.83 : 208.03 = 113.03 : x
  2. Step 2: Convert to fraction form
    138.83/208.03 = 113.03/x
  3. Step 3: Cross multiply
    138.83x = 208.03 × 113.03
  4. Step 4: Simplify right side
    138.83x = 23,513.87
  5. Step 5: Solve for x
    x = 23,513.87/138.83
  6. Step 6: Final answer
    x = 169.37

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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.