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Finding the Fourth Proportional to 146.46, 199.46 and 144.75

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Solution

The fourth proportional to 146.46, 199.46 and 144.75 is: 197.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.46 : 199.46 = 144.75 : x
  2. Step 2: Convert to fraction form
    146.46/199.46 = 144.75/x
  3. Step 3: Cross multiply
    146.46x = 199.46 × 144.75
  4. Step 4: Simplify right side
    146.46x = 28,872.94
  5. Step 5: Solve for x
    x = 28,872.94/146.46
  6. Step 6: Final answer
    x = 197.14

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.