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Finding the Fourth Proportional to 137.78, 206.50 and 76.76

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Solution

The fourth proportional to 137.78, 206.50 and 76.76 is: 115.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.78 : 206.50 = 76.76 : x
  2. Step 2: Convert to fraction form
    137.78/206.50 = 76.76/x
  3. Step 3: Cross multiply
    137.78x = 206.50 × 76.76
  4. Step 4: Simplify right side
    137.78x = 15,850.94
  5. Step 5: Solve for x
    x = 15,850.94/137.78
  6. Step 6: Final answer
    x = 115.05

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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.