Finding the Fourth Proportional to 73.74, 110.81 and 37.70
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Solution
The fourth proportional to 73.74, 110.81 and 37.70 is: 56.65
Step by Step Solution
- Step 1: Write the proportion equation
73.74 : 110.81 = 37.70 : x - Step 2: Convert to fraction form
73.74/110.81 = 37.70/x - Step 3: Cross multiply
73.74x = 110.81 × 37.70 - Step 4: Simplify right side
73.74x = 4,177.08 - Step 5: Solve for x
x = 4,177.08/73.74 - Step 6: Final answer
x = 56.65
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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.