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Finding the Fourth Proportional to 137.74, 206.64 and 76.80

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Solution

The fourth proportional to 137.74, 206.64 and 76.80 is: 115.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.74 : 206.64 = 76.80 : x
  2. Step 2: Convert to fraction form
    137.74/206.64 = 76.80/x
  3. Step 3: Cross multiply
    137.74x = 206.64 × 76.80
  4. Step 4: Simplify right side
    137.74x = 15,869.95
  5. Step 5: Solve for x
    x = 15,869.95/137.74
  6. Step 6: Final answer
    x = 115.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.