Finding the Fourth Proportional to 257.44, 355.06 and 202.08
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Solution
The fourth proportional to 257.44, 355.06 and 202.08 is: 278.71
Step by Step Solution
- Step 1: Write the proportion equation
257.44 : 355.06 = 202.08 : x - Step 2: Convert to fraction form
257.44/355.06 = 202.08/x - Step 3: Cross multiply
257.44x = 355.06 × 202.08 - Step 4: Simplify right side
257.44x = 71,750.52 - Step 5: Solve for x
x = 71,750.52/257.44 - Step 6: Final answer
x = 278.71
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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.