Finding the Fourth Proportional to 74.26, 110.64 and 70.78
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Solution
The fourth proportional to 74.26, 110.64 and 70.78 is: 105.46
Step by Step Solution
- Step 1: Write the proportion equation
74.26 : 110.64 = 70.78 : x - Step 2: Convert to fraction form
74.26/110.64 = 70.78/x - Step 3: Cross multiply
74.26x = 110.64 × 70.78 - Step 4: Simplify right side
74.26x = 7,831.10 - Step 5: Solve for x
x = 7,831.10/74.26 - Step 6: Final answer
x = 105.46
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.