Finding the Fourth Proportional to 207.58, 286.55 and 157.80
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Solution
The fourth proportional to 207.58, 286.55 and 157.80 is: 217.83
Step by Step Solution
- Step 1: Write the proportion equation
207.58 : 286.55 = 157.80 : x - Step 2: Convert to fraction form
207.58/286.55 = 157.80/x - Step 3: Cross multiply
207.58x = 286.55 × 157.80 - Step 4: Simplify right side
207.58x = 45,217.08 - Step 5: Solve for x
x = 45,217.08/207.58 - Step 6: Final answer
x = 217.83
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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.