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Finding the Fourth Proportional to 326.82, 489.93 and 224.16

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Solution

The fourth proportional to 326.82, 489.93 and 224.16 is: 336.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.82 : 489.93 = 224.16 : x
  2. Step 2: Convert to fraction form
    326.82/489.93 = 224.16/x
  3. Step 3: Cross multiply
    326.82x = 489.93 × 224.16
  4. Step 4: Simplify right side
    326.82x = 109,822.71
  5. Step 5: Solve for x
    x = 109,822.71/326.82
  6. Step 6: Final answer
    x = 336.03

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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.