Finding the Fourth Proportional to 189.97, 285.19 and 138.67
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Solution
The fourth proportional to 189.97, 285.19 and 138.67 is: 208.17
Step by Step Solution
- Step 1: Write the proportion equation
189.97 : 285.19 = 138.67 : x - Step 2: Convert to fraction form
189.97/285.19 = 138.67/x - Step 3: Cross multiply
189.97x = 285.19 × 138.67 - Step 4: Simplify right side
189.97x = 39,546.24 - Step 5: Solve for x
x = 39,546.24/189.97 - Step 6: Final answer
x = 208.17
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.