Finding the Fourth Proportional to 33.74, 46.55 and 22.80
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Solution
The fourth proportional to 33.74, 46.55 and 22.80 is: 31.46
Step by Step Solution
- Step 1: Write the proportion equation
33.74 : 46.55 = 22.80 : x - Step 2: Convert to fraction form
33.74/46.55 = 22.80/x - Step 3: Cross multiply
33.74x = 46.55 × 22.80 - Step 4: Simplify right side
33.74x = 1,061.23 - Step 5: Solve for x
x = 1,061.23/33.74 - Step 6: Final answer
x = 31.46
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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.