Finding the Fourth Proportional to 135.09, 202.70 and 96.68
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Solution
The fourth proportional to 135.09, 202.70 and 96.68 is: 145.07
Step by Step Solution
- Step 1: Write the proportion equation
135.09 : 202.70 = 96.68 : x - Step 2: Convert to fraction form
135.09/202.70 = 96.68/x - Step 3: Cross multiply
135.09x = 202.70 × 96.68 - Step 4: Simplify right side
135.09x = 19,597.78 - Step 5: Solve for x
x = 19,597.78/135.09 - Step 6: Final answer
x = 145.07
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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.