Finding the Fourth Proportional to 74.44, 102.74 and 41.70
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Solution
The fourth proportional to 74.44, 102.74 and 41.70 is: 57.55
Step by Step Solution
- Step 1: Write the proportion equation
74.44 : 102.74 = 41.70 : x - Step 2: Convert to fraction form
74.44/102.74 = 41.70/x - Step 3: Cross multiply
74.44x = 102.74 × 41.70 - Step 4: Simplify right side
74.44x = 4,284.26 - Step 5: Solve for x
x = 4,284.26/74.44 - Step 6: Final answer
x = 57.55
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.