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Finding the Fourth Proportional to 137.65, 189.86 and 119.20

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Solution

The fourth proportional to 137.65, 189.86 and 119.20 is: 164.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.65 : 189.86 = 119.20 : x
  2. Step 2: Convert to fraction form
    137.65/189.86 = 119.20/x
  3. Step 3: Cross multiply
    137.65x = 189.86 × 119.20
  4. Step 4: Simplify right side
    137.65x = 22,631.31
  5. Step 5: Solve for x
    x = 22,631.31/137.65
  6. Step 6: Final answer
    x = 164.41

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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.