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Finding the Fourth Proportional to 356.38, 489.92 and 306.41

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Solution

The fourth proportional to 356.38, 489.92 and 306.41 is: 421.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.38 : 489.92 = 306.41 : x
  2. Step 2: Convert to fraction form
    356.38/489.92 = 306.41/x
  3. Step 3: Cross multiply
    356.38x = 489.92 × 306.41
  4. Step 4: Simplify right side
    356.38x = 150,115.56
  5. Step 5: Solve for x
    x = 150,115.56/356.38
  6. Step 6: Final answer
    x = 421.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.