Finding the Fourth Proportional to 178, 245.64 and 100.38
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Solution
The fourth proportional to 178, 245.64 and 100.38 is: 138.52
Step by Step Solution
- Step 1: Write the proportion equation
178 : 245.64 = 100.38 : x - Step 2: Convert to fraction form
178/245.64 = 100.38/x - Step 3: Cross multiply
178x = 245.64 × 100.38 - Step 4: Simplify right side
178x = 24,657.34 - Step 5: Solve for x
x = 24,657.34/178 - Step 6: Final answer
x = 138.52
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1.5x scale
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.