Finding the Fourth Proportional to 270.19, 405.29 and 77.81
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Solution
The fourth proportional to 270.19, 405.29 and 77.81 is: 116.72
Step by Step Solution
- Step 1: Write the proportion equation
270.19 : 405.29 = 77.81 : x - Step 2: Convert to fraction form
270.19/405.29 = 77.81/x - Step 3: Cross multiply
270.19x = 405.29 × 77.81 - Step 4: Simplify right side
270.19x = 31,536.24 - Step 5: Solve for x
x = 31,536.24/270.19 - Step 6: Final answer
x = 116.72
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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.