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Finding the Fourth Proportional to 326.60, 489.42 and 254.84

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Solution

The fourth proportional to 326.60, 489.42 and 254.84 is: 381.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.60 : 489.42 = 254.84 : x
  2. Step 2: Convert to fraction form
    326.60/489.42 = 254.84/x
  3. Step 3: Cross multiply
    326.60x = 489.42 × 254.84
  4. Step 4: Simplify right side
    326.60x = 124,723.79
  5. Step 5: Solve for x
    x = 124,723.79/326.60
  6. Step 6: Final answer
    x = 381.89

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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.