Finding the Fourth Proportional to 105.47, 158.22 and 36.99
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Solution
The fourth proportional to 105.47, 158.22 and 36.99 is: 55.48
Step by Step Solution
- Step 1: Write the proportion equation
105.47 : 158.22 = 36.99 : x - Step 2: Convert to fraction form
105.47/158.22 = 36.99/x - Step 3: Cross multiply
105.47x = 158.22 × 36.99 - Step 4: Simplify right side
105.47x = 5,851.58 - Step 5: Solve for x
x = 5,851.58/105.47 - Step 6: Final answer
x = 55.48
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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.