Finding the Fourth Proportional to 207.47, 286.08 and 178.07
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Solution
The fourth proportional to 207.47, 286.08 and 178.07 is: 245.54
Step by Step Solution
- Step 1: Write the proportion equation
207.47 : 286.08 = 178.07 : x - Step 2: Convert to fraction form
207.47/286.08 = 178.07/x - Step 3: Cross multiply
207.47x = 286.08 × 178.07 - Step 4: Simplify right side
207.47x = 50,940.84 - Step 5: Solve for x
x = 50,940.84/207.47 - Step 6: Final answer
x = 245.54
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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.