Finding the Fourth Proportional to 257.60, 385.99 and 149.06
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Solution
The fourth proportional to 257.60, 385.99 and 149.06 is: 223.35
Step by Step Solution
- Step 1: Write the proportion equation
257.60 : 385.99 = 149.06 : x - Step 2: Convert to fraction form
257.60/385.99 = 149.06/x - Step 3: Cross multiply
257.60x = 385.99 × 149.06 - Step 4: Simplify right side
257.60x = 57,536.26 - Step 5: Solve for x
x = 57,536.26/257.60 - Step 6: Final answer
x = 223.35
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.