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Finding the Fourth Proportional to 397.29, 592.92 and 381.41

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Solution

The fourth proportional to 397.29, 592.92 and 381.41 is: 569.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.29 : 592.92 = 381.41 : x
  2. Step 2: Convert to fraction form
    397.29/592.92 = 381.41/x
  3. Step 3: Cross multiply
    397.29x = 592.92 × 381.41
  4. Step 4: Simplify right side
    397.29x = 226,142.65
  5. Step 5: Solve for x
    x = 226,142.65/397.29
  6. Step 6: Final answer
    x = 569.21

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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.