Finding the Fourth Proportional to 277.14, 415.74 and 84.78
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Solution
The fourth proportional to 277.14, 415.74 and 84.78 is: 127.18
Step by Step Solution
- Step 1: Write the proportion equation
277.14 : 415.74 = 84.78 : x - Step 2: Convert to fraction form
277.14/415.74 = 84.78/x - Step 3: Cross multiply
277.14x = 415.74 × 84.78 - Step 4: Simplify right side
277.14x = 35,246.44 - Step 5: Solve for x
x = 35,246.44/277.14 - Step 6: Final answer
x = 127.18
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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.