Finding the Fourth Proportional to 202.08, 278.79 and 119.13
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Solution
The fourth proportional to 202.08, 278.79 and 119.13 is: 164.35
Step by Step Solution
- Step 1: Write the proportion equation
202.08 : 278.79 = 119.13 : x - Step 2: Convert to fraction form
202.08/278.79 = 119.13/x - Step 3: Cross multiply
202.08x = 278.79 × 119.13 - Step 4: Simplify right side
202.08x = 33,212.25 - Step 5: Solve for x
x = 33,212.25/202.08 - Step 6: Final answer
x = 164.35
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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.