Finding the Fourth Proportional to 221.93, 305.70 and 195.70
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Solution
The fourth proportional to 221.93, 305.70 and 195.70 is: 269.57
Step by Step Solution
- Step 1: Write the proportion equation
221.93 : 305.70 = 195.70 : x - Step 2: Convert to fraction form
221.93/305.70 = 195.70/x - Step 3: Cross multiply
221.93x = 305.70 × 195.70 - Step 4: Simplify right side
221.93x = 59,825.49 - Step 5: Solve for x
x = 59,825.49/221.93 - Step 6: Final answer
x = 269.57
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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.