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Finding the Fourth Proportional to 200.13, 276.38 and 142.21

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Solution

The fourth proportional to 200.13, 276.38 and 142.21 is: 196.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.13 : 276.38 = 142.21 : x
  2. Step 2: Convert to fraction form
    200.13/276.38 = 142.21/x
  3. Step 3: Cross multiply
    200.13x = 276.38 × 142.21
  4. Step 4: Simplify right side
    200.13x = 39,304.00
  5. Step 5: Solve for x
    x = 39,304.00/200.13
  6. Step 6: Final answer
    x = 196.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.