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Finding the Fourth Proportional to 137.99, 190.04 and 120.50

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Solution

The fourth proportional to 137.99, 190.04 and 120.50 is: 165.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.99 : 190.04 = 120.50 : x
  2. Step 2: Convert to fraction form
    137.99/190.04 = 120.50/x
  3. Step 3: Cross multiply
    137.99x = 190.04 × 120.50
  4. Step 4: Simplify right side
    137.99x = 22,899.82
  5. Step 5: Solve for x
    x = 22,899.82/137.99
  6. Step 6: Final answer
    x = 165.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.