Finding the Fourth Proportional to 178.23, 245.79 and 122.88
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Solution
The fourth proportional to 178.23, 245.79 and 122.88 is: 169.46
Step by Step Solution
- Step 1: Write the proportion equation
178.23 : 245.79 = 122.88 : x - Step 2: Convert to fraction form
178.23/245.79 = 122.88/x - Step 3: Cross multiply
178.23x = 245.79 × 122.88 - Step 4: Simplify right side
178.23x = 30,202.68 - Step 5: Solve for x
x = 30,202.68/178.23 - Step 6: Final answer
x = 169.46
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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.