Finding the Fourth Proportional to 72.42, 107.87 and 72.28
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Solution
The fourth proportional to 72.42, 107.87 and 72.28 is: 107.66
Step by Step Solution
- Step 1: Write the proportion equation
72.42 : 107.87 = 72.28 : x - Step 2: Convert to fraction form
72.42/107.87 = 72.28/x - Step 3: Cross multiply
72.42x = 107.87 × 72.28 - Step 4: Simplify right side
72.42x = 7,796.84 - Step 5: Solve for x
x = 7,796.84/72.42 - Step 6: Final answer
x = 107.66
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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.