Finding the Fourth Proportional to 33.14, 49.59 and 31.41
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Solution
The fourth proportional to 33.14, 49.59 and 31.41 is: 46.99
Step by Step Solution
- Step 1: Write the proportion equation
33.14 : 49.59 = 31.41 : x - Step 2: Convert to fraction form
33.14/49.59 = 31.41/x - Step 3: Cross multiply
33.14x = 49.59 × 31.41 - Step 4: Simplify right side
33.14x = 1,557.50 - Step 5: Solve for x
x = 1,557.50/33.14 - Step 6: Final answer
x = 46.99
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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.