Finding the Fourth Proportional to 98.26, 135.48 and 77.48
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Solution
The fourth proportional to 98.26, 135.48 and 77.48 is: 106.83
Step by Step Solution
- Step 1: Write the proportion equation
98.26 : 135.48 = 77.48 : x - Step 2: Convert to fraction form
98.26/135.48 = 77.48/x - Step 3: Cross multiply
98.26x = 135.48 × 77.48 - Step 4: Simplify right side
98.26x = 10,496.99 - Step 5: Solve for x
x = 10,496.99/98.26 - Step 6: Final answer
x = 106.83
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.