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Finding the Fourth Proportional to 138.70, 208.87 and 130.60

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Solution

The fourth proportional to 138.70, 208.87 and 130.60 is: 196.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.70 : 208.87 = 130.60 : x
  2. Step 2: Convert to fraction form
    138.70/208.87 = 130.60/x
  3. Step 3: Cross multiply
    138.70x = 208.87 × 130.60
  4. Step 4: Simplify right side
    138.70x = 27,278.42
  5. Step 5: Solve for x
    x = 27,278.42/138.70
  6. Step 6: Final answer
    x = 196.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.