Finding the Fourth Proportional to 305.79, 421.99 and 165.91
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Solution
The fourth proportional to 305.79, 421.99 and 165.91 is: 228.95
Step by Step Solution
- Step 1: Write the proportion equation
305.79 : 421.99 = 165.91 : x - Step 2: Convert to fraction form
305.79/421.99 = 165.91/x - Step 3: Cross multiply
305.79x = 421.99 × 165.91 - Step 4: Simplify right side
305.79x = 70,010.25 - Step 5: Solve for x
x = 70,010.25/305.79 - Step 6: Final answer
x = 228.95
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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.