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Finding the Fourth Proportional to 138.94, 208.41 and 110.02

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Solution

The fourth proportional to 138.94, 208.41 and 110.02 is: 165.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.94 : 208.41 = 110.02 : x
  2. Step 2: Convert to fraction form
    138.94/208.41 = 110.02/x
  3. Step 3: Cross multiply
    138.94x = 208.41 × 110.02
  4. Step 4: Simplify right side
    138.94x = 22,929.27
  5. Step 5: Solve for x
    x = 22,929.27/138.94
  6. Step 6: Final answer
    x = 165.03

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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.