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Finding the Fourth Proportional to 254.92, 382.28 and 81.56

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Solution

The fourth proportional to 254.92, 382.28 and 81.56 is: 122.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.92 : 382.28 = 81.56 : x
  2. Step 2: Convert to fraction form
    254.92/382.28 = 81.56/x
  3. Step 3: Cross multiply
    254.92x = 382.28 × 81.56
  4. Step 4: Simplify right side
    254.92x = 31,178.76
  5. Step 5: Solve for x
    x = 31,178.76/254.92
  6. Step 6: Final answer
    x = 122.31

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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.