Finding the Fourth Proportional to 189.77, 284.42 and 166.99
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Solution
The fourth proportional to 189.77, 284.42 and 166.99 is: 250.28
Step by Step Solution
- Step 1: Write the proportion equation
189.77 : 284.42 = 166.99 : x - Step 2: Convert to fraction form
189.77/284.42 = 166.99/x - Step 3: Cross multiply
189.77x = 284.42 × 166.99 - Step 4: Simplify right side
189.77x = 47,494.97 - Step 5: Solve for x
x = 47,494.97/189.77 - Step 6: Final answer
x = 250.28
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.