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Finding the Fourth Proportional to 200.45, 276.22 and 141.46

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Solution

The fourth proportional to 200.45, 276.22 and 141.46 is: 194.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.45 : 276.22 = 141.46 : x
  2. Step 2: Convert to fraction form
    200.45/276.22 = 141.46/x
  3. Step 3: Cross multiply
    200.45x = 276.22 × 141.46
  4. Step 4: Simplify right side
    200.45x = 39,074.08
  5. Step 5: Solve for x
    x = 39,074.08/200.45
  6. Step 6: Final answer
    x = 194.93

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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.