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Finding the Fourth Proportional to 200.45, 276.68 and 142.13

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Solution

The fourth proportional to 200.45, 276.68 and 142.13 is: 196.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.45 : 276.68 = 142.13 : x
  2. Step 2: Convert to fraction form
    200.45/276.68 = 142.13/x
  3. Step 3: Cross multiply
    200.45x = 276.68 × 142.13
  4. Step 4: Simplify right side
    200.45x = 39,323.15
  5. Step 5: Solve for x
    x = 39,323.15/200.45
  6. Step 6: Final answer
    x = 196.18

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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.