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Finding the Fourth Proportional to 395.96, 589.23 and 381.38

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Solution

The fourth proportional to 395.96, 589.23 and 381.38 is: 567.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.96 : 589.23 = 381.38 : x
  2. Step 2: Convert to fraction form
    395.96/589.23 = 381.38/x
  3. Step 3: Cross multiply
    395.96x = 589.23 × 381.38
  4. Step 4: Simplify right side
    395.96x = 224,717.59
  5. Step 5: Solve for x
    x = 224,717.59/395.96
  6. Step 6: Final answer
    x = 567.53

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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.