Finding the Fourth Proportional to 412.18, 617.79 and 192.36
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Solution
The fourth proportional to 412.18, 617.79 and 192.36 is: 288.32
Step by Step Solution
- Step 1: Write the proportion equation
412.18 : 617.79 = 192.36 : x - Step 2: Convert to fraction form
412.18/617.79 = 192.36/x - Step 3: Cross multiply
412.18x = 617.79 × 192.36 - Step 4: Simplify right side
412.18x = 118,838.08 - Step 5: Solve for x
x = 118,838.08/412.18 - Step 6: Final answer
x = 288.32
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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.