Finding the Fourth Proportional to 98.24, 135.68 and 70.70
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Solution
The fourth proportional to 98.24, 135.68 and 70.70 is: 97.64
Step by Step Solution
- Step 1: Write the proportion equation
98.24 : 135.68 = 70.70 : x - Step 2: Convert to fraction form
98.24/135.68 = 70.70/x - Step 3: Cross multiply
98.24x = 135.68 × 70.70 - Step 4: Simplify right side
98.24x = 9,591.54 - Step 5: Solve for x
x = 9,591.54/98.24 - Step 6: Final answer
x = 97.64
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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.