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Finding the Fourth Proportional to 143.52, 199.44 and 142.04

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Solution

The fourth proportional to 143.52, 199.44 and 142.04 is: 197.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.52 : 199.44 = 142.04 : x
  2. Step 2: Convert to fraction form
    143.52/199.44 = 142.04/x
  3. Step 3: Cross multiply
    143.52x = 199.44 × 142.04
  4. Step 4: Simplify right side
    143.52x = 28,327.75
  5. Step 5: Solve for x
    x = 28,327.75/143.52
  6. Step 6: Final answer
    x = 197.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.