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Finding the Fourth Proportional to 326.57, 489.83 and 143.97

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Solution

The fourth proportional to 326.57, 489.83 and 143.97 is: 215.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.57 : 489.83 = 143.97 : x
  2. Step 2: Convert to fraction form
    326.57/489.83 = 143.97/x
  3. Step 3: Cross multiply
    326.57x = 489.83 × 143.97
  4. Step 4: Simplify right side
    326.57x = 70,520.83
  5. Step 5: Solve for x
    x = 70,520.83/326.57
  6. Step 6: Final answer
    x = 215.94

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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.