Finding the Fourth Proportional to 42.41, 63.63 and 37.96
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Solution
The fourth proportional to 42.41, 63.63 and 37.96 is: 56.95
Step by Step Solution
- Step 1: Write the proportion equation
42.41 : 63.63 = 37.96 : x - Step 2: Convert to fraction form
42.41/63.63 = 37.96/x - Step 3: Cross multiply
42.41x = 63.63 × 37.96 - Step 4: Simplify right side
42.41x = 2,415.24 - Step 5: Solve for x
x = 2,415.24/42.41 - Step 6: Final answer
x = 56.95
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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.