Finding the Fourth Proportional to 202.60, 279.63 and 119.78
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Solution
The fourth proportional to 202.60, 279.63 and 119.78 is: 165.32
Step by Step Solution
- Step 1: Write the proportion equation
202.60 : 279.63 = 119.78 : x - Step 2: Convert to fraction form
202.60/279.63 = 119.78/x - Step 3: Cross multiply
202.60x = 279.63 × 119.78 - Step 4: Simplify right side
202.60x = 33,494.08 - Step 5: Solve for x
x = 33,494.08/202.60 - Step 6: Final answer
x = 165.32
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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.