Finding the Fourth Proportional to 178.11, 245.93 and 157.41
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Solution
The fourth proportional to 178.11, 245.93 and 157.41 is: 217.34
Step by Step Solution
- Step 1: Write the proportion equation
178.11 : 245.93 = 157.41 : x - Step 2: Convert to fraction form
178.11/245.93 = 157.41/x - Step 3: Cross multiply
178.11x = 245.93 × 157.41 - Step 4: Simplify right side
178.11x = 38,711.05 - Step 5: Solve for x
x = 38,711.05/178.11 - Step 6: Final answer
x = 217.34
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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.