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Finding the Fourth Proportional to 143.52, 196.52 and 142.56

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Solution

The fourth proportional to 143.52, 196.52 and 142.56 is: 195.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.52 : 196.52 = 142.56 : x
  2. Step 2: Convert to fraction form
    143.52/196.52 = 142.56/x
  3. Step 3: Cross multiply
    143.52x = 196.52 × 142.56
  4. Step 4: Simplify right side
    143.52x = 28,015.89
  5. Step 5: Solve for x
    x = 28,015.89/143.52
  6. Step 6: Final answer
    x = 195.21

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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.