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Finding the Fourth Proportional to 395.44, 590.75 and 381.04

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Solution

The fourth proportional to 395.44, 590.75 and 381.04 is: 569.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.44 : 590.75 = 381.04 : x
  2. Step 2: Convert to fraction form
    395.44/590.75 = 381.04/x
  3. Step 3: Cross multiply
    395.44x = 590.75 × 381.04
  4. Step 4: Simplify right side
    395.44x = 225,099.38
  5. Step 5: Solve for x
    x = 225,099.38/395.44
  6. Step 6: Final answer
    x = 569.24

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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.