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Finding the Fourth Proportional to 146.75, 201.02 and 145.13

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Solution

The fourth proportional to 146.75, 201.02 and 145.13 is: 198.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.75 : 201.02 = 145.13 : x
  2. Step 2: Convert to fraction form
    146.75/201.02 = 145.13/x
  3. Step 3: Cross multiply
    146.75x = 201.02 × 145.13
  4. Step 4: Simplify right side
    146.75x = 29,172.30
  5. Step 5: Solve for x
    x = 29,172.30/146.75
  6. Step 6: Final answer
    x = 198.80

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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.