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Finding the Fourth Proportional to 146.06, 200.33 and 142.42

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Solution

The fourth proportional to 146.06, 200.33 and 142.42 is: 195.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.06 : 200.33 = 142.42 : x
  2. Step 2: Convert to fraction form
    146.06/200.33 = 142.42/x
  3. Step 3: Cross multiply
    146.06x = 200.33 × 142.42
  4. Step 4: Simplify right side
    146.06x = 28,531.00
  5. Step 5: Solve for x
    x = 28,531.00/146.06
  6. Step 6: Final answer
    x = 195.34

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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.