Finding the Fourth Proportional to 31.99, 48.11 and 22.99
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Solution
The fourth proportional to 31.99, 48.11 and 22.99 is: 34.57
Step by Step Solution
- Step 1: Write the proportion equation
31.99 : 48.11 = 22.99 : x - Step 2: Convert to fraction form
31.99/48.11 = 22.99/x - Step 3: Cross multiply
31.99x = 48.11 × 22.99 - Step 4: Simplify right side
31.99x = 1,106.05 - Step 5: Solve for x
x = 1,106.05/31.99 - Step 6: Final answer
x = 34.57
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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.