Finding the Fourth Proportional to 134.84, 202.26 and 77.09
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Solution
The fourth proportional to 134.84, 202.26 and 77.09 is: 115.63
Step by Step Solution
- Step 1: Write the proportion equation
134.84 : 202.26 = 77.09 : x - Step 2: Convert to fraction form
134.84/202.26 = 77.09/x - Step 3: Cross multiply
134.84x = 202.26 × 77.09 - Step 4: Simplify right side
134.84x = 15,591.21 - Step 5: Solve for x
x = 15,591.21/134.84 - Step 6: Final answer
x = 115.63
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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.