Finding the Fourth Proportional to 135.50, 203.08 and 77.68
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Solution
The fourth proportional to 135.50, 203.08 and 77.68 is: 116.42
Step by Step Solution
- Step 1: Write the proportion equation
135.50 : 203.08 = 77.68 : x - Step 2: Convert to fraction form
135.50/203.08 = 77.68/x - Step 3: Cross multiply
135.50x = 203.08 × 77.68 - Step 4: Simplify right side
135.50x = 15,775.25 - Step 5: Solve for x
x = 15,775.25/135.50 - Step 6: Final answer
x = 116.42
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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.