Finding the Fourth Proportional to 302.97, 418.21 and 178.69
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Solution
The fourth proportional to 302.97, 418.21 and 178.69 is: 246.66
Step by Step Solution
- Step 1: Write the proportion equation
302.97 : 418.21 = 178.69 : x - Step 2: Convert to fraction form
302.97/418.21 = 178.69/x - Step 3: Cross multiply
302.97x = 418.21 × 178.69 - Step 4: Simplify right side
302.97x = 74,730.24 - Step 5: Solve for x
x = 74,730.24/302.97 - Step 6: Final answer
x = 246.66
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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.