Finding the Fourth Proportional to 294.23, 406.01 and 177.80
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Solution
The fourth proportional to 294.23, 406.01 and 177.80 is: 245.34
Step by Step Solution
- Step 1: Write the proportion equation
294.23 : 406.01 = 177.80 : x - Step 2: Convert to fraction form
294.23/406.01 = 177.80/x - Step 3: Cross multiply
294.23x = 406.01 × 177.80 - Step 4: Simplify right side
294.23x = 72,186.99 - Step 5: Solve for x
x = 72,186.99/294.23 - Step 6: Final answer
x = 245.34
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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.