Finding the Fourth Proportional to 416, 574.08 and 278
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Solution
The fourth proportional to 416, 574.08 and 278 is: 383.64
Step by Step Solution
- Step 1: Write the proportion equation
416 : 574.08 = 278 : x - Step 2: Convert to fraction form
416/574.08 = 278/x - Step 3: Cross multiply
416x = 574.08 × 278 - Step 4: Simplify right side
416x = 159,594.24 - Step 5: Solve for x
x = 159,594.24/416 - Step 6: Final answer
x = 383.64
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.