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Finding the Fourth Proportional to 326.12, 489.34 and 154.92

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Solution

The fourth proportional to 326.12, 489.34 and 154.92 is: 232.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.12 : 489.34 = 154.92 : x
  2. Step 2: Convert to fraction form
    326.12/489.34 = 154.92/x
  3. Step 3: Cross multiply
    326.12x = 489.34 × 154.92
  4. Step 4: Simplify right side
    326.12x = 75,808.55
  5. Step 5: Solve for x
    x = 75,808.55/326.12
  6. Step 6: Final answer
    x = 232.46

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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.