Finding the Fourth Proportional to 203.88, 305.85 and 107.70
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Solution
The fourth proportional to 203.88, 305.85 and 107.70 is: 161.57
Step by Step Solution
- Step 1: Write the proportion equation
203.88 : 305.85 = 107.70 : x - Step 2: Convert to fraction form
203.88/305.85 = 107.70/x - Step 3: Cross multiply
203.88x = 305.85 × 107.70 - Step 4: Simplify right side
203.88x = 32,940.05 - Step 5: Solve for x
x = 32,940.05/203.88 - Step 6: Final answer
x = 161.57
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.