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Finding the Fourth Proportional to 426.38, 585.28 and 393.56

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Solution

The fourth proportional to 426.38, 585.28 and 393.56 is: 540.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.38 : 585.28 = 393.56 : x
  2. Step 2: Convert to fraction form
    426.38/585.28 = 393.56/x
  3. Step 3: Cross multiply
    426.38x = 585.28 × 393.56
  4. Step 4: Simplify right side
    426.38x = 230,342.80
  5. Step 5: Solve for x
    x = 230,342.80/426.38
  6. Step 6: Final answer
    x = 540.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.