Finding the Fourth Proportional to 416.08, 624.09 and 184.90
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Solution
The fourth proportional to 416.08, 624.09 and 184.90 is: 277.34
Step by Step Solution
- Step 1: Write the proportion equation
416.08 : 624.09 = 184.90 : x - Step 2: Convert to fraction form
416.08/624.09 = 184.90/x - Step 3: Cross multiply
416.08x = 624.09 × 184.90 - Step 4: Simplify right side
416.08x = 115,394.24 - Step 5: Solve for x
x = 115,394.24/416.08 - Step 6: Final answer
x = 277.34
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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.