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Finding the Fourth Proportional to 142.09, 213.17 and 50.80

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Solution

The fourth proportional to 142.09, 213.17 and 50.80 is: 76.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.09 : 213.17 = 50.80 : x
  2. Step 2: Convert to fraction form
    142.09/213.17 = 50.80/x
  3. Step 3: Cross multiply
    142.09x = 213.17 × 50.80
  4. Step 4: Simplify right side
    142.09x = 10,828.25
  5. Step 5: Solve for x
    x = 10,828.25/142.09
  6. Step 6: Final answer
    x = 76.21

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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.