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Finding the Fourth Proportional to 385.87, 576.53 and 286.62

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Solution

The fourth proportional to 385.87, 576.53 and 286.62 is: 428.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.87 : 576.53 = 286.62 : x
  2. Step 2: Convert to fraction form
    385.87/576.53 = 286.62/x
  3. Step 3: Cross multiply
    385.87x = 576.53 × 286.62
  4. Step 4: Simplify right side
    385.87x = 165,245.03
  5. Step 5: Solve for x
    x = 165,245.03/385.87
  6. Step 6: Final answer
    x = 428.24

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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.