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Finding the Fourth Proportional to 326.09, 489.24 and 143.63

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Solution

The fourth proportional to 326.09, 489.24 and 143.63 is: 215.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.09 : 489.24 = 143.63 : x
  2. Step 2: Convert to fraction form
    326.09/489.24 = 143.63/x
  3. Step 3: Cross multiply
    326.09x = 489.24 × 143.63
  4. Step 4: Simplify right side
    326.09x = 70,269.54
  5. Step 5: Solve for x
    x = 70,269.54/326.09
  6. Step 6: Final answer
    x = 215.49

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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.