Finding the Fourth Proportional to 305.64, 420.80 and 284.99
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Solution
The fourth proportional to 305.64, 420.80 and 284.99 is: 392.36
Step by Step Solution
- Step 1: Write the proportion equation
305.64 : 420.80 = 284.99 : x - Step 2: Convert to fraction form
305.64/420.80 = 284.99/x - Step 3: Cross multiply
305.64x = 420.80 × 284.99 - Step 4: Simplify right side
305.64x = 119,920.26 - Step 5: Solve for x
x = 119,920.26/305.64 - Step 6: Final answer
x = 392.36
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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.