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Finding the Fourth Proportional to 138.81, 208.46 and 114.81

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Solution

The fourth proportional to 138.81, 208.46 and 114.81 is: 172.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.81 : 208.46 = 114.81 : x
  2. Step 2: Convert to fraction form
    138.81/208.46 = 114.81/x
  3. Step 3: Cross multiply
    138.81x = 208.46 × 114.81
  4. Step 4: Simplify right side
    138.81x = 23,932.72
  5. Step 5: Solve for x
    x = 23,932.72/138.81
  6. Step 6: Final answer
    x = 172.41

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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.