Finding the Fourth Proportional to 207.14, 286.14 and 165.63
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Solution
The fourth proportional to 207.14, 286.14 and 165.63 is: 228.80
Step by Step Solution
- Step 1: Write the proportion equation
207.14 : 286.14 = 165.63 : x - Step 2: Convert to fraction form
207.14/286.14 = 165.63/x - Step 3: Cross multiply
207.14x = 286.14 × 165.63 - Step 4: Simplify right side
207.14x = 47,393.37 - Step 5: Solve for x
x = 47,393.37/207.14 - Step 6: Final answer
x = 228.80
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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.