Finding the Fourth Proportional to 202.19, 279.07 and 119.32
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Solution
The fourth proportional to 202.19, 279.07 and 119.32 is: 164.69
Step by Step Solution
- Step 1: Write the proportion equation
202.19 : 279.07 = 119.32 : x - Step 2: Convert to fraction form
202.19/279.07 = 119.32/x - Step 3: Cross multiply
202.19x = 279.07 × 119.32 - Step 4: Simplify right side
202.19x = 33,298.63 - Step 5: Solve for x
x = 33,298.63/202.19 - Step 6: Final answer
x = 164.69
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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.