Finding the Fourth Proportional to 193.24, 289.75 and 115.23
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Solution
The fourth proportional to 193.24, 289.75 and 115.23 is: 172.77
Step by Step Solution
- Step 1: Write the proportion equation
193.24 : 289.75 = 115.23 : x - Step 2: Convert to fraction form
193.24/289.75 = 115.23/x - Step 3: Cross multiply
193.24x = 289.75 × 115.23 - Step 4: Simplify right side
193.24x = 33,385.87 - Step 5: Solve for x
x = 33,385.87/193.24 - Step 6: Final answer
x = 172.77
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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.