Finding the Fourth Proportional to 97.44, 145.96 and 49.26
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Solution
The fourth proportional to 97.44, 145.96 and 49.26 is: 73.79
Step by Step Solution
- Step 1: Write the proportion equation
97.44 : 145.96 = 49.26 : x - Step 2: Convert to fraction form
97.44/145.96 = 49.26/x - Step 3: Cross multiply
97.44x = 145.96 × 49.26 - Step 4: Simplify right side
97.44x = 7,189.99 - Step 5: Solve for x
x = 7,189.99/97.44 - Step 6: Final answer
x = 73.79
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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.