Finding the Fourth Proportional to 357.19, 492.99 and 284.07
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Solution
The fourth proportional to 357.19, 492.99 and 284.07 is: 392.07
Step by Step Solution
- Step 1: Write the proportion equation
357.19 : 492.99 = 284.07 : x - Step 2: Convert to fraction form
357.19/492.99 = 284.07/x - Step 3: Cross multiply
357.19x = 492.99 × 284.07 - Step 4: Simplify right side
357.19x = 140,043.67 - Step 5: Solve for x
x = 140,043.67/357.19 - Step 6: Final answer
x = 392.07
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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.