Finding the Fourth Proportional to 381.68, 526.24 and 311.48
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Solution
The fourth proportional to 381.68, 526.24 and 311.48 is: 429.45
Step by Step Solution
- Step 1: Write the proportion equation
381.68 : 526.24 = 311.48 : x - Step 2: Convert to fraction form
381.68/526.24 = 311.48/x - Step 3: Cross multiply
381.68x = 526.24 × 311.48 - Step 4: Simplify right side
381.68x = 163,913.24 - Step 5: Solve for x
x = 163,913.24/381.68 - Step 6: Final answer
x = 429.45
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.