Finding the Fourth Proportional to 32.74, 48.83 and 30.70
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Solution
The fourth proportional to 32.74, 48.83 and 30.70 is: 45.79
Step by Step Solution
- Step 1: Write the proportion equation
32.74 : 48.83 = 30.70 : x - Step 2: Convert to fraction form
32.74/48.83 = 30.70/x - Step 3: Cross multiply
32.74x = 48.83 × 30.70 - Step 4: Simplify right side
32.74x = 1,499.08 - Step 5: Solve for x
x = 1,499.08/32.74 - Step 6: Final answer
x = 45.79
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.