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Finding the Fourth Proportional to 138.60, 208.83 and 114.76

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Solution

The fourth proportional to 138.60, 208.83 and 114.76 is: 172.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.60 : 208.83 = 114.76 : x
  2. Step 2: Convert to fraction form
    138.60/208.83 = 114.76/x
  3. Step 3: Cross multiply
    138.60x = 208.83 × 114.76
  4. Step 4: Simplify right side
    138.60x = 23,965.33
  5. Step 5: Solve for x
    x = 23,965.33/138.60
  6. Step 6: Final answer
    x = 172.91

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Why These Related Problems?

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