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Finding the Fourth Proportional to 384.39, 575.22 and 221.28

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Solution

The fourth proportional to 384.39, 575.22 and 221.28 is: 331.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.39 : 575.22 = 221.28 : x
  2. Step 2: Convert to fraction form
    384.39/575.22 = 221.28/x
  3. Step 3: Cross multiply
    384.39x = 575.22 × 221.28
  4. Step 4: Simplify right side
    384.39x = 127,284.68
  5. Step 5: Solve for x
    x = 127,284.68/384.39
  6. Step 6: Final answer
    x = 331.13

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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.