Finding the Fourth Proportional to 303.09, 454.70 and 97.80
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Solution
The fourth proportional to 303.09, 454.70 and 97.80 is: 146.73
Step by Step Solution
- Step 1: Write the proportion equation
303.09 : 454.70 = 97.80 : x - Step 2: Convert to fraction form
303.09/454.70 = 97.80/x - Step 3: Cross multiply
303.09x = 454.70 × 97.80 - Step 4: Simplify right side
303.09x = 44,471.24 - Step 5: Solve for x
x = 44,471.24/303.09 - Step 6: Final answer
x = 146.73
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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.