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Finding the Fourth Proportional to 389.27, 582.87 and 343.14

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Solution

The fourth proportional to 389.27, 582.87 and 343.14 is: 513.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.27 : 582.87 = 343.14 : x
  2. Step 2: Convert to fraction form
    389.27/582.87 = 343.14/x
  3. Step 3: Cross multiply
    389.27x = 582.87 × 343.14
  4. Step 4: Simplify right side
    389.27x = 200,006.01
  5. Step 5: Solve for x
    x = 200,006.01/389.27
  6. Step 6: Final answer
    x = 513.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.