Finding the Fourth Proportional to 305.10, 420.18 and 263.64
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Solution
The fourth proportional to 305.10, 420.18 and 263.64 is: 363.08
Step by Step Solution
- Step 1: Write the proportion equation
305.10 : 420.18 = 263.64 : x - Step 2: Convert to fraction form
305.10/420.18 = 263.64/x - Step 3: Cross multiply
305.10x = 420.18 × 263.64 - Step 4: Simplify right side
305.10x = 110,776.26 - Step 5: Solve for x
x = 110,776.26/305.10 - Step 6: Final answer
x = 363.08
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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.