Finding the Fourth Proportional to 364.68, 546.09 and 202.18
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Solution
The fourth proportional to 364.68, 546.09 and 202.18 is: 302.75
Step by Step Solution
- Step 1: Write the proportion equation
364.68 : 546.09 = 202.18 : x - Step 2: Convert to fraction form
364.68/546.09 = 202.18/x - Step 3: Cross multiply
364.68x = 546.09 × 202.18 - Step 4: Simplify right side
364.68x = 110,408.48 - Step 5: Solve for x
x = 110,408.48/364.68 - Step 6: Final answer
x = 302.75
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.