Finding the Fourth Proportional to 75.58, 113.26 and 55.26
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Solution
The fourth proportional to 75.58, 113.26 and 55.26 is: 82.81
Step by Step Solution
- Step 1: Write the proportion equation
75.58 : 113.26 = 55.26 : x - Step 2: Convert to fraction form
75.58/113.26 = 55.26/x - Step 3: Cross multiply
75.58x = 113.26 × 55.26 - Step 4: Simplify right side
75.58x = 6,258.75 - Step 5: Solve for x
x = 6,258.75/75.58 - Step 6: Final answer
x = 82.81
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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.