Finding the Fourth Proportional to 303.26, 454.64 and 97.70
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Solution
The fourth proportional to 303.26, 454.64 and 97.70 is: 146.46
Step by Step Solution
- Step 1: Write the proportion equation
303.26 : 454.64 = 97.70 : x - Step 2: Convert to fraction form
303.26/454.64 = 97.70/x - Step 3: Cross multiply
303.26x = 454.64 × 97.70 - Step 4: Simplify right side
303.26x = 44,415.57 - Step 5: Solve for x
x = 44,415.57/303.26 - Step 6: Final answer
x = 146.46
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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.