Finding the Fourth Proportional to 75.70, 113 and 74.26
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Solution
The fourth proportional to 75.70, 113 and 74.26 is: 110.85
Step by Step Solution
- Step 1: Write the proportion equation
75.70 : 113 = 74.26 : x - Step 2: Convert to fraction form
75.70/113 = 74.26/x - Step 3: Cross multiply
75.70x = 113 × 74.26 - Step 4: Simplify right side
75.70x = 8,391.38 - Step 5: Solve for x
x = 8,391.38/75.70 - Step 6: Final answer
x = 110.85
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.