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Finding the Fourth Proportional to 326.90, 489.81 and 230.51

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Solution

The fourth proportional to 326.90, 489.81 and 230.51 is: 345.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.90 : 489.81 = 230.51 : x
  2. Step 2: Convert to fraction form
    326.90/489.81 = 230.51/x
  3. Step 3: Cross multiply
    326.90x = 489.81 × 230.51
  4. Step 4: Simplify right side
    326.90x = 112,906.10
  5. Step 5: Solve for x
    x = 112,906.10/326.90
  6. Step 6: Final answer
    x = 345.38

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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.