Finding the Fourth Proportional to 302.09, 416.74 and 177.74
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Solution
The fourth proportional to 302.09, 416.74 and 177.74 is: 245.20
Step by Step Solution
- Step 1: Write the proportion equation
302.09 : 416.74 = 177.74 : x - Step 2: Convert to fraction form
302.09/416.74 = 177.74/x - Step 3: Cross multiply
302.09x = 416.74 × 177.74 - Step 4: Simplify right side
302.09x = 74,071.97 - Step 5: Solve for x
x = 74,071.97/302.09 - Step 6: Final answer
x = 245.20
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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.