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Finding the Fourth Proportional to 395.21, 593.06 and 343.77

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Solution

The fourth proportional to 395.21, 593.06 and 343.77 is: 515.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.21 : 593.06 = 343.77 : x
  2. Step 2: Convert to fraction form
    395.21/593.06 = 343.77/x
  3. Step 3: Cross multiply
    395.21x = 593.06 × 343.77
  4. Step 4: Simplify right side
    395.21x = 203,874.52
  5. Step 5: Solve for x
    x = 203,874.52/395.21
  6. Step 6: Final answer
    x = 515.87

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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.