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Finding the Fourth Proportional to 384, 576.24 and 221.76

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Solution

The fourth proportional to 384, 576.24 and 221.76 is: 332.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    384 : 576.24 = 221.76 : x
  2. Step 2: Convert to fraction form
    384/576.24 = 221.76/x
  3. Step 3: Cross multiply
    384x = 576.24 × 221.76
  4. Step 4: Simplify right side
    384x = 127,786.98
  5. Step 5: Solve for x
    x = 127,786.98/384
  6. Step 6: Final answer
    x = 332.78

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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.