Finding the Fourth Proportional to 53.84, 74.21 and 37.44
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Solution
The fourth proportional to 53.84, 74.21 and 37.44 is: 51.61
Step by Step Solution
- Step 1: Write the proportion equation
53.84 : 74.21 = 37.44 : x - Step 2: Convert to fraction form
53.84/74.21 = 37.44/x - Step 3: Cross multiply
53.84x = 74.21 × 37.44 - Step 4: Simplify right side
53.84x = 2,778.24 - Step 5: Solve for x
x = 2,778.24/53.84 - Step 6: Final answer
x = 51.61
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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.