Finding the Fourth Proportional to 193.21, 289.74 and 84.97
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Solution
The fourth proportional to 193.21, 289.74 and 84.97 is: 127.42
Step by Step Solution
- Step 1: Write the proportion equation
193.21 : 289.74 = 84.97 : x - Step 2: Convert to fraction form
193.21/289.74 = 84.97/x - Step 3: Cross multiply
193.21x = 289.74 × 84.97 - Step 4: Simplify right side
193.21x = 24,617.76 - Step 5: Solve for x
x = 24,617.76/193.21 - Step 6: Final answer
x = 127.42
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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.