Finding the Fourth Proportional to 37.02, 51.08 and 22.46
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Solution
The fourth proportional to 37.02, 51.08 and 22.46 is: 30.99
Step by Step Solution
- Step 1: Write the proportion equation
37.02 : 51.08 = 22.46 : x - Step 2: Convert to fraction form
37.02/51.08 = 22.46/x - Step 3: Cross multiply
37.02x = 51.08 × 22.46 - Step 4: Simplify right side
37.02x = 1,147.30 - Step 5: Solve for x
x = 1,147.30/37.02 - Step 6: Final answer
x = 30.99
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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.