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Finding the Fourth Proportional to 142.30, 195.62 and 141.42

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Solution

The fourth proportional to 142.30, 195.62 and 141.42 is: 194.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.30 : 195.62 = 141.42 : x
  2. Step 2: Convert to fraction form
    142.30/195.62 = 141.42/x
  3. Step 3: Cross multiply
    142.30x = 195.62 × 141.42
  4. Step 4: Simplify right side
    142.30x = 27,664.44
  5. Step 5: Solve for x
    x = 27,664.44/142.30
  6. Step 6: Final answer
    x = 194.42

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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.