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Finding the Fourth Proportional to 395.66, 593.49 and 179.39

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Solution

The fourth proportional to 395.66, 593.49 and 179.39 is: 269.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.66 : 593.49 = 179.39 : x
  2. Step 2: Convert to fraction form
    395.66/593.49 = 179.39/x
  3. Step 3: Cross multiply
    395.66x = 593.49 × 179.39
  4. Step 4: Simplify right side
    395.66x = 106,462.31
  5. Step 5: Solve for x
    x = 106,462.31/395.66
  6. Step 6: Final answer
    x = 269.08

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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.