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Finding the Fourth Proportional to 257.28, 385.89 and 111.09

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Solution

The fourth proportional to 257.28, 385.89 and 111.09 is: 166.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.28 : 385.89 = 111.09 : x
  2. Step 2: Convert to fraction form
    257.28/385.89 = 111.09/x
  3. Step 3: Cross multiply
    257.28x = 385.89 × 111.09
  4. Step 4: Simplify right side
    257.28x = 42,868.52
  5. Step 5: Solve for x
    x = 42,868.52/257.28
  6. Step 6: Final answer
    x = 166.62

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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.