Finding the Fourth Proportional to 202.60, 278.08 and 202.60
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Solution
The fourth proportional to 202.60, 278.08 and 202.60 is: 278.08
Step by Step Solution
- Step 1: Write the proportion equation
202.60 : 278.08 = 202.60 : x - Step 2: Convert to fraction form
202.60/278.08 = 202.60/x - Step 3: Cross multiply
202.60x = 278.08 × 202.60 - Step 4: Simplify right side
202.60x = 56,339.01 - Step 5: Solve for x
x = 56,339.01/202.60 - Step 6: Final answer
x = 278.08
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Why These Related Problems?
These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.