Finding the Fourth Proportional to 135.84, 203.84 and 75.02
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Solution
The fourth proportional to 135.84, 203.84 and 75.02 is: 112.56
Step by Step Solution
- Step 1: Write the proportion equation
135.84 : 203.84 = 75.02 : x - Step 2: Convert to fraction form
135.84/203.84 = 75.02/x - Step 3: Cross multiply
135.84x = 203.84 × 75.02 - Step 4: Simplify right side
135.84x = 15,290.68 - Step 5: Solve for x
x = 15,290.68/135.84 - Step 6: Final answer
x = 112.56
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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.