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Finding the Fourth Proportional to 395.89, 593.58 and 190.46

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Solution

The fourth proportional to 395.89, 593.58 and 190.46 is: 285.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.89 : 593.58 = 190.46 : x
  2. Step 2: Convert to fraction form
    395.89/593.58 = 190.46/x
  3. Step 3: Cross multiply
    395.89x = 593.58 × 190.46
  4. Step 4: Simplify right side
    395.89x = 113,053.25
  5. Step 5: Solve for x
    x = 113,053.25/395.89
  6. Step 6: Final answer
    x = 285.57

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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.