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Finding the Fourth Proportional to 189.49, 260.92 and 161.80

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Solution

The fourth proportional to 189.49, 260.92 and 161.80 is: 222.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.49 : 260.92 = 161.80 : x
  2. Step 2: Convert to fraction form
    189.49/260.92 = 161.80/x
  3. Step 3: Cross multiply
    189.49x = 260.92 × 161.80
  4. Step 4: Simplify right side
    189.49x = 42,216.41
  5. Step 5: Solve for x
    x = 42,216.41/189.49
  6. Step 6: Final answer
    x = 222.79

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