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Finding the Fourth Proportional to 326.05, 489.58 and 275.09

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Solution

The fourth proportional to 326.05, 489.58 and 275.09 is: 413.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.05 : 489.58 = 275.09 : x
  2. Step 2: Convert to fraction form
    326.05/489.58 = 275.09/x
  3. Step 3: Cross multiply
    326.05x = 489.58 × 275.09
  4. Step 4: Simplify right side
    326.05x = 134,675.43
  5. Step 5: Solve for x
    x = 134,675.43/326.05
  6. Step 6: Final answer
    x = 413.05

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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.