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Finding the Fourth Proportional to 395.91, 594.09 and 265.97

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Solution

The fourth proportional to 395.91, 594.09 and 265.97 is: 399.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.91 : 594.09 = 265.97 : x
  2. Step 2: Convert to fraction form
    395.91/594.09 = 265.97/x
  3. Step 3: Cross multiply
    395.91x = 594.09 × 265.97
  4. Step 4: Simplify right side
    395.91x = 158,011.60
  5. Step 5: Solve for x
    x = 158,011.60/395.91
  6. Step 6: Final answer
    x = 399.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.