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Finding the Fourth Proportional to 142.21, 213.29 and 50.90

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Solution

The fourth proportional to 142.21, 213.29 and 50.90 is: 76.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.21 : 213.29 = 50.90 : x
  2. Step 2: Convert to fraction form
    142.21/213.29 = 50.90/x
  3. Step 3: Cross multiply
    142.21x = 213.29 × 50.90
  4. Step 4: Simplify right side
    142.21x = 10,855.39
  5. Step 5: Solve for x
    x = 10,855.39/142.21
  6. Step 6: Final answer
    x = 76.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.