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Finding the Fourth Proportional to 146.05, 200.24 and 143.45

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Solution

The fourth proportional to 146.05, 200.24 and 143.45 is: 196.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.05 : 200.24 = 143.45 : x
  2. Step 2: Convert to fraction form
    146.05/200.24 = 143.45/x
  3. Step 3: Cross multiply
    146.05x = 200.24 × 143.45
  4. Step 4: Simplify right side
    146.05x = 28,724.43
  5. Step 5: Solve for x
    x = 28,724.43/146.05
  6. Step 6: Final answer
    x = 196.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.