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Finding the Fourth Proportional to 146.07, 201.97 and 143.76

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Solution

The fourth proportional to 146.07, 201.97 and 143.76 is: 198.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.07 : 201.97 = 143.76 : x
  2. Step 2: Convert to fraction form
    146.07/201.97 = 143.76/x
  3. Step 3: Cross multiply
    146.07x = 201.97 × 143.76
  4. Step 4: Simplify right side
    146.07x = 29,035.21
  5. Step 5: Solve for x
    x = 29,035.21/146.07
  6. Step 6: Final answer
    x = 198.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.