Finding the Fourth Proportional to 420.41, 580.14 and 233.88
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Solution
The fourth proportional to 420.41, 580.14 and 233.88 is: 322.74
Step by Step Solution
- Step 1: Write the proportion equation
420.41 : 580.14 = 233.88 : x - Step 2: Convert to fraction form
420.41/580.14 = 233.88/x - Step 3: Cross multiply
420.41x = 580.14 × 233.88 - Step 4: Simplify right side
420.41x = 135,683.14 - Step 5: Solve for x
x = 135,683.14/420.41 - Step 6: Final answer
x = 322.74
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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.