Finding the Fourth Proportional to 33.84, 46.71 and 22.94
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Solution
The fourth proportional to 33.84, 46.71 and 22.94 is: 31.66
Step by Step Solution
- Step 1: Write the proportion equation
33.84 : 46.71 = 22.94 : x - Step 2: Convert to fraction form
33.84/46.71 = 22.94/x - Step 3: Cross multiply
33.84x = 46.71 × 22.94 - Step 4: Simplify right side
33.84x = 1,071.47 - Step 5: Solve for x
x = 1,071.47/33.84 - Step 6: Final answer
x = 31.66
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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.