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Finding the Fourth Proportional to 137.95, 205.75 and 120.94

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Solution

The fourth proportional to 137.95, 205.75 and 120.94 is: 180.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.95 : 205.75 = 120.94 : x
  2. Step 2: Convert to fraction form
    137.95/205.75 = 120.94/x
  3. Step 3: Cross multiply
    137.95x = 205.75 × 120.94
  4. Step 4: Simplify right side
    137.95x = 24,883.41
  5. Step 5: Solve for x
    x = 24,883.41/137.95
  6. Step 6: Final answer
    x = 180.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.