Finding the Fourth Proportional to 178.10, 246.15 and 164.75
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Solution
The fourth proportional to 178.10, 246.15 and 164.75 is: 227.70
Step by Step Solution
- Step 1: Write the proportion equation
178.10 : 246.15 = 164.75 : x - Step 2: Convert to fraction form
178.10/246.15 = 164.75/x - Step 3: Cross multiply
178.10x = 246.15 × 164.75 - Step 4: Simplify right side
178.10x = 40,553.21 - Step 5: Solve for x
x = 40,553.21/178.10 - Step 6: Final answer
x = 227.70
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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.