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Finding the Fourth Proportional to 138.26, 206.05 and 135.06

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Solution

The fourth proportional to 138.26, 206.05 and 135.06 is: 201.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.26 : 206.05 = 135.06 : x
  2. Step 2: Convert to fraction form
    138.26/206.05 = 135.06/x
  3. Step 3: Cross multiply
    138.26x = 206.05 × 135.06
  4. Step 4: Simplify right side
    138.26x = 27,828.44
  5. Step 5: Solve for x
    x = 27,828.44/138.26
  6. Step 6: Final answer
    x = 201.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.