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Finding the Fourth Proportional to 386.91, 576.18 and 382.05

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Solution

The fourth proportional to 386.91, 576.18 and 382.05 is: 568.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.91 : 576.18 = 382.05 : x
  2. Step 2: Convert to fraction form
    386.91/576.18 = 382.05/x
  3. Step 3: Cross multiply
    386.91x = 576.18 × 382.05
  4. Step 4: Simplify right side
    386.91x = 220,129.57
  5. Step 5: Solve for x
    x = 220,129.57/386.91
  6. Step 6: Final answer
    x = 568.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.