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Finding the Fourth Proportional to 138.03, 205.96 and 110.30

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Solution

The fourth proportional to 138.03, 205.96 and 110.30 is: 164.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.03 : 205.96 = 110.30 : x
  2. Step 2: Convert to fraction form
    138.03/205.96 = 110.30/x
  3. Step 3: Cross multiply
    138.03x = 205.96 × 110.30
  4. Step 4: Simplify right side
    138.03x = 22,717.39
  5. Step 5: Solve for x
    x = 22,717.39/138.03
  6. Step 6: Final answer
    x = 164.58

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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.