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Finding the Fourth Proportional to 137.66, 189.78 and 119.20

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Solution

The fourth proportional to 137.66, 189.78 and 119.20 is: 164.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.66 : 189.78 = 119.20 : x
  2. Step 2: Convert to fraction form
    137.66/189.78 = 119.20/x
  3. Step 3: Cross multiply
    137.66x = 189.78 × 119.20
  4. Step 4: Simplify right side
    137.66x = 22,621.78
  5. Step 5: Solve for x
    x = 22,621.78/137.66
  6. Step 6: Final answer
    x = 164.33

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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.