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Finding the Fourth Proportional to 395.04, 589.57 and 385.82

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Solution

The fourth proportional to 395.04, 589.57 and 385.82 is: 575.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.04 : 589.57 = 385.82 : x
  2. Step 2: Convert to fraction form
    395.04/589.57 = 385.82/x
  3. Step 3: Cross multiply
    395.04x = 589.57 × 385.82
  4. Step 4: Simplify right side
    395.04x = 227,467.90
  5. Step 5: Solve for x
    x = 227,467.90/395.04
  6. Step 6: Final answer
    x = 575.81

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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.