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Finding the Fourth Proportional to 137.44, 206.04 and 76.55

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Solution

The fourth proportional to 137.44, 206.04 and 76.55 is: 114.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.44 : 206.04 = 76.55 : x
  2. Step 2: Convert to fraction form
    137.44/206.04 = 76.55/x
  3. Step 3: Cross multiply
    137.44x = 206.04 × 76.55
  4. Step 4: Simplify right side
    137.44x = 15,772.88
  5. Step 5: Solve for x
    x = 15,772.88/137.44
  6. Step 6: Final answer
    x = 114.76

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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.