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Finding the Fourth Proportional to 146.87, 201.19 and 145.25

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Solution

The fourth proportional to 146.87, 201.19 and 145.25 is: 198.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.87 : 201.19 = 145.25 : x
  2. Step 2: Convert to fraction form
    146.87/201.19 = 145.25/x
  3. Step 3: Cross multiply
    146.87x = 201.19 × 145.25
  4. Step 4: Simplify right side
    146.87x = 29,222.30
  5. Step 5: Solve for x
    x = 29,222.30/146.87
  6. Step 6: Final answer
    x = 198.97

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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.