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Finding the Fourth Proportional to 254.97, 383.81 and 221.49

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Solution

The fourth proportional to 254.97, 383.81 and 221.49 is: 333.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.97 : 383.81 = 221.49 : x
  2. Step 2: Convert to fraction form
    254.97/383.81 = 221.49/x
  3. Step 3: Cross multiply
    254.97x = 383.81 × 221.49
  4. Step 4: Simplify right side
    254.97x = 85,008.97
  5. Step 5: Solve for x
    x = 85,008.97/254.97
  6. Step 6: Final answer
    x = 333.41

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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.