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Finding the Fourth Proportional to 395.18, 593.06 and 138.68

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Solution

The fourth proportional to 395.18, 593.06 and 138.68 is: 208.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.18 : 593.06 = 138.68 : x
  2. Step 2: Convert to fraction form
    395.18/593.06 = 138.68/x
  3. Step 3: Cross multiply
    395.18x = 593.06 × 138.68
  4. Step 4: Simplify right side
    395.18x = 82,245.56
  5. Step 5: Solve for x
    x = 82,245.56/395.18
  6. Step 6: Final answer
    x = 208.12

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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.