Finding the Fourth Proportional to 186.23, 256.99 and 107.54
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Solution
The fourth proportional to 186.23, 256.99 and 107.54 is: 148.40
Step by Step Solution
- Step 1: Write the proportion equation
186.23 : 256.99 = 107.54 : x - Step 2: Convert to fraction form
186.23/256.99 = 107.54/x - Step 3: Cross multiply
186.23x = 256.99 × 107.54 - Step 4: Simplify right side
186.23x = 27,637.08 - Step 5: Solve for x
x = 27,637.08/186.23 - Step 6: Final answer
x = 148.40
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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.