Finding the Fourth Proportional to 135.43, 202.97 and 77.70
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Solution
The fourth proportional to 135.43, 202.97 and 77.70 is: 116.45
Step by Step Solution
- Step 1: Write the proportion equation
135.43 : 202.97 = 77.70 : x - Step 2: Convert to fraction form
135.43/202.97 = 77.70/x - Step 3: Cross multiply
135.43x = 202.97 × 77.70 - Step 4: Simplify right side
135.43x = 15,770.77 - Step 5: Solve for x
x = 15,770.77/135.43 - Step 6: Final answer
x = 116.45
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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.