Finding the Fourth Proportional to 270.13, 405.26 and 77.75
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Solution
The fourth proportional to 270.13, 405.26 and 77.75 is: 116.64
Step by Step Solution
- Step 1: Write the proportion equation
270.13 : 405.26 = 77.75 : x - Step 2: Convert to fraction form
270.13/405.26 = 77.75/x - Step 3: Cross multiply
270.13x = 405.26 × 77.75 - Step 4: Simplify right side
270.13x = 31,508.97 - Step 5: Solve for x
x = 31,508.97/270.13 - Step 6: Final answer
x = 116.64
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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.