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Finding the Fourth Proportional to 146.11, 219.39 and 85.28

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Solution

The fourth proportional to 146.11, 219.39 and 85.28 is: 128.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.11 : 219.39 = 85.28 : x
  2. Step 2: Convert to fraction form
    146.11/219.39 = 85.28/x
  3. Step 3: Cross multiply
    146.11x = 219.39 × 85.28
  4. Step 4: Simplify right side
    146.11x = 18,709.58
  5. Step 5: Solve for x
    x = 18,709.58/146.11
  6. Step 6: Final answer
    x = 128.05

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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.