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Finding the Fourth Proportional to 200.11, 276.13 and 147.68

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Solution

The fourth proportional to 200.11, 276.13 and 147.68 is: 203.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.11 : 276.13 = 147.68 : x
  2. Step 2: Convert to fraction form
    200.11/276.13 = 147.68/x
  3. Step 3: Cross multiply
    200.11x = 276.13 × 147.68
  4. Step 4: Simplify right side
    200.11x = 40,777.45
  5. Step 5: Solve for x
    x = 40,777.45/200.11
  6. Step 6: Final answer
    x = 203.78

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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.