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Finding the Fourth Proportional to 137.44, 190.08 and 120.64

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Solution

The fourth proportional to 137.44, 190.08 and 120.64 is: 166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.44 : 190.08 = 120.64 : x
  2. Step 2: Convert to fraction form
    137.44/190.08 = 120.64/x
  3. Step 3: Cross multiply
    137.44x = 190.08 × 120.64
  4. Step 4: Simplify right side
    137.44x = 22,931.25
  5. Step 5: Solve for x
    x = 22,931.25/137.44
  6. Step 6: Final answer
    x = 166.85

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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.