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Finding the Fourth Proportional to 200.52, 276.42 and 142.20

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Solution

The fourth proportional to 200.52, 276.42 and 142.20 is: 196.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.52 : 276.42 = 142.20 : x
  2. Step 2: Convert to fraction form
    200.52/276.42 = 142.20/x
  3. Step 3: Cross multiply
    200.52x = 276.42 × 142.20
  4. Step 4: Simplify right side
    200.52x = 39,306.92
  5. Step 5: Solve for x
    x = 39,306.92/200.52
  6. Step 6: Final answer
    x = 196.02

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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.