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Finding the Fourth Proportional to 389.91, 582.01 and 343.78

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Solution

The fourth proportional to 389.91, 582.01 and 343.78 is: 513.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.91 : 582.01 = 343.78 : x
  2. Step 2: Convert to fraction form
    389.91/582.01 = 343.78/x
  3. Step 3: Cross multiply
    389.91x = 582.01 × 343.78
  4. Step 4: Simplify right side
    389.91x = 200,082.72
  5. Step 5: Solve for x
    x = 200,082.72/389.91
  6. Step 6: Final answer
    x = 513.15

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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.