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Finding the Fourth Proportional to 326.62, 489.65 and 223.76

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Solution

The fourth proportional to 326.62, 489.65 and 223.76 is: 335.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.62 : 489.65 = 223.76 : x
  2. Step 2: Convert to fraction form
    326.62/489.65 = 223.76/x
  3. Step 3: Cross multiply
    326.62x = 489.65 × 223.76
  4. Step 4: Simplify right side
    326.62x = 109,564.08
  5. Step 5: Solve for x
    x = 109,564.08/326.62
  6. Step 6: Final answer
    x = 335.45

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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.