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Finding the Fourth Proportional to 200.12, 276.08 and 141.19

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Solution

The fourth proportional to 200.12, 276.08 and 141.19 is: 194.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.12 : 276.08 = 141.19 : x
  2. Step 2: Convert to fraction form
    200.12/276.08 = 141.19/x
  3. Step 3: Cross multiply
    200.12x = 276.08 × 141.19
  4. Step 4: Simplify right side
    200.12x = 38,978.87
  5. Step 5: Solve for x
    x = 38,978.87/200.12
  6. Step 6: Final answer
    x = 194.78

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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.