Finding the Fourth Proportional to 178.21, 245.70 and 159.99
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Solution
The fourth proportional to 178.21, 245.70 and 159.99 is: 220.57
Step by Step Solution
- Step 1: Write the proportion equation
178.21 : 245.70 = 159.99 : x - Step 2: Convert to fraction form
178.21/245.70 = 159.99/x - Step 3: Cross multiply
178.21x = 245.70 × 159.99 - Step 4: Simplify right side
178.21x = 39,308.48 - Step 5: Solve for x
x = 39,308.48/178.21 - Step 6: Final answer
x = 220.57
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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.