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Finding the Fourth Proportional to 253.76, 382.28 and 221.60

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Solution

The fourth proportional to 253.76, 382.28 and 221.60 is: 333.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.76 : 382.28 = 221.60 : x
  2. Step 2: Convert to fraction form
    253.76/382.28 = 221.60/x
  3. Step 3: Cross multiply
    253.76x = 382.28 × 221.60
  4. Step 4: Simplify right side
    253.76x = 84,713.25
  5. Step 5: Solve for x
    x = 84,713.25/253.76
  6. Step 6: Final answer
    x = 333.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.