Finding the Fourth Proportional to 98.28, 146.68 and 97.66
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Solution
The fourth proportional to 98.28, 146.68 and 97.66 is: 145.75
Step by Step Solution
- Step 1: Write the proportion equation
98.28 : 146.68 = 97.66 : x - Step 2: Convert to fraction form
98.28/146.68 = 97.66/x - Step 3: Cross multiply
98.28x = 146.68 × 97.66 - Step 4: Simplify right side
98.28x = 14,324.77 - Step 5: Solve for x
x = 14,324.77/98.28 - Step 6: Final answer
x = 145.75
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.