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Finding the Fourth Proportional to 138.38, 208.02 and 134.06

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Solution

The fourth proportional to 138.38, 208.02 and 134.06 is: 201.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.38 : 208.02 = 134.06 : x
  2. Step 2: Convert to fraction form
    138.38/208.02 = 134.06/x
  3. Step 3: Cross multiply
    138.38x = 208.02 × 134.06
  4. Step 4: Simplify right side
    138.38x = 27,887.16
  5. Step 5: Solve for x
    x = 27,887.16/138.38
  6. Step 6: Final answer
    x = 201.53

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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.