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Finding the Fourth Proportional to 326.42, 489.83 and 233.94

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Solution

The fourth proportional to 326.42, 489.83 and 233.94 is: 351.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.42 : 489.83 = 233.94 : x
  2. Step 2: Convert to fraction form
    326.42/489.83 = 233.94/x
  3. Step 3: Cross multiply
    326.42x = 489.83 × 233.94
  4. Step 4: Simplify right side
    326.42x = 114,589.66
  5. Step 5: Solve for x
    x = 114,589.66/326.42
  6. Step 6: Final answer
    x = 351.06

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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.