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Finding the Fourth Proportional to 142.35, 197.41 and 133.44

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Solution

The fourth proportional to 142.35, 197.41 and 133.44 is: 185.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.35 : 197.41 = 133.44 : x
  2. Step 2: Convert to fraction form
    142.35/197.41 = 133.44/x
  3. Step 3: Cross multiply
    142.35x = 197.41 × 133.44
  4. Step 4: Simplify right side
    142.35x = 26,342.39
  5. Step 5: Solve for x
    x = 26,342.39/142.35
  6. Step 6: Final answer
    x = 185.05

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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.