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Finding the Fourth Proportional to 139.50, 208.34 and 120.28

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Solution

The fourth proportional to 139.50, 208.34 and 120.28 is: 179.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.50 : 208.34 = 120.28 : x
  2. Step 2: Convert to fraction form
    139.50/208.34 = 120.28/x
  3. Step 3: Cross multiply
    139.50x = 208.34 × 120.28
  4. Step 4: Simplify right side
    139.50x = 25,059.14
  5. Step 5: Solve for x
    x = 25,059.14/139.50
  6. Step 6: Final answer
    x = 179.64

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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.