Finding the Fourth Proportional to 178.13, 245.84 and 108.23
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Solution
The fourth proportional to 178.13, 245.84 and 108.23 is: 149.36
Step by Step Solution
- Step 1: Write the proportion equation
178.13 : 245.84 = 108.23 : x - Step 2: Convert to fraction form
178.13/245.84 = 108.23/x - Step 3: Cross multiply
178.13x = 245.84 × 108.23 - Step 4: Simplify right side
178.13x = 26,605.49 - Step 5: Solve for x
x = 26,605.49/178.13 - Step 6: Final answer
x = 149.36
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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.