Finding the Fourth Proportional to 178.21, 245.99 and 119.99
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Solution
The fourth proportional to 178.21, 245.99 and 119.99 is: 165.63
Step by Step Solution
- Step 1: Write the proportion equation
178.21 : 245.99 = 119.99 : x - Step 2: Convert to fraction form
178.21/245.99 = 119.99/x - Step 3: Cross multiply
178.21x = 245.99 × 119.99 - Step 4: Simplify right side
178.21x = 29,516.34 - Step 5: Solve for x
x = 29,516.34/178.21 - Step 6: Final answer
x = 165.63
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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.