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Finding the Fourth Proportional to 146.09, 217.87 and 134.28

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Solution

The fourth proportional to 146.09, 217.87 and 134.28 is: 200.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.09 : 217.87 = 134.28 : x
  2. Step 2: Convert to fraction form
    146.09/217.87 = 134.28/x
  3. Step 3: Cross multiply
    146.09x = 217.87 × 134.28
  4. Step 4: Simplify right side
    146.09x = 29,255.25
  5. Step 5: Solve for x
    x = 29,255.25/146.09
  6. Step 6: Final answer
    x = 200.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.