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Finding the Fourth Proportional to 138.54, 208.13 and 120.32

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Solution

The fourth proportional to 138.54, 208.13 and 120.32 is: 180.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.54 : 208.13 = 120.32 : x
  2. Step 2: Convert to fraction form
    138.54/208.13 = 120.32/x
  3. Step 3: Cross multiply
    138.54x = 208.13 × 120.32
  4. Step 4: Simplify right side
    138.54x = 25,040.56
  5. Step 5: Solve for x
    x = 25,040.56/138.54
  6. Step 6: Final answer
    x = 180.75

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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.