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Finding the Fourth Proportional to 326.07, 489.65 and 243.81

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Solution

The fourth proportional to 326.07, 489.65 and 243.81 is: 366.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.07 : 489.65 = 243.81 : x
  2. Step 2: Convert to fraction form
    326.07/489.65 = 243.81/x
  3. Step 3: Cross multiply
    326.07x = 489.65 × 243.81
  4. Step 4: Simplify right side
    326.07x = 119,380.35
  5. Step 5: Solve for x
    x = 119,380.35/326.07
  6. Step 6: Final answer
    x = 366.12

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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.