Finding the Fourth Proportional to 257.99, 356.10 and 205.62
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Solution
The fourth proportional to 257.99, 356.10 and 205.62 is: 283.82
Step by Step Solution
- Step 1: Write the proportion equation
257.99 : 356.10 = 205.62 : x - Step 2: Convert to fraction form
257.99/356.10 = 205.62/x - Step 3: Cross multiply
257.99x = 356.10 × 205.62 - Step 4: Simplify right side
257.99x = 73,221.28 - Step 5: Solve for x
x = 73,221.28/257.99 - Step 6: Final answer
x = 283.82
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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.