Finding the Fourth Proportional to 207.28, 286.08 and 119.98
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Solution
The fourth proportional to 207.28, 286.08 and 119.98 is: 165.59
Step by Step Solution
- Step 1: Write the proportion equation
207.28 : 286.08 = 119.98 : x - Step 2: Convert to fraction form
207.28/286.08 = 119.98/x - Step 3: Cross multiply
207.28x = 286.08 × 119.98 - Step 4: Simplify right side
207.28x = 34,323.88 - Step 5: Solve for x
x = 34,323.88/207.28 - Step 6: Final answer
x = 165.59
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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.