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Finding the Fourth Proportional to 326.79, 489.91 and 189.67

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Solution

The fourth proportional to 326.79, 489.91 and 189.67 is: 284.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.79 : 489.91 = 189.67 : x
  2. Step 2: Convert to fraction form
    326.79/489.91 = 189.67/x
  3. Step 3: Cross multiply
    326.79x = 489.91 × 189.67
  4. Step 4: Simplify right side
    326.79x = 92,921.23
  5. Step 5: Solve for x
    x = 92,921.23/326.79
  6. Step 6: Final answer
    x = 284.35

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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.