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Finding the Fourth Proportional to 395.22, 589.67 and 336.78

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Solution

The fourth proportional to 395.22, 589.67 and 336.78 is: 502.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.22 : 589.67 = 336.78 : x
  2. Step 2: Convert to fraction form
    395.22/589.67 = 336.78/x
  3. Step 3: Cross multiply
    395.22x = 589.67 × 336.78
  4. Step 4: Simplify right side
    395.22x = 198,591.96
  5. Step 5: Solve for x
    x = 198,591.96/395.22
  6. Step 6: Final answer
    x = 502.49

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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.