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Finding the Fourth Proportional to 408.84, 564.21 and 222.33

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Solution

The fourth proportional to 408.84, 564.21 and 222.33 is: 306.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.84 : 564.21 = 222.33 : x
  2. Step 2: Convert to fraction form
    408.84/564.21 = 222.33/x
  3. Step 3: Cross multiply
    408.84x = 564.21 × 222.33
  4. Step 4: Simplify right side
    408.84x = 125,440.81
  5. Step 5: Solve for x
    x = 125,440.81/408.84
  6. Step 6: Final answer
    x = 306.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.