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Finding the Fourth Proportional to 200.33, 276.48 and 113

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Solution

The fourth proportional to 200.33, 276.48 and 113 is: 155.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.33 : 276.48 = 113 : x
  2. Step 2: Convert to fraction form
    200.33/276.48 = 113/x
  3. Step 3: Cross multiply
    200.33x = 276.48 × 113
  4. Step 4: Simplify right side
    200.33x = 31,241.68
  5. Step 5: Solve for x
    x = 31,241.68/200.33
  6. Step 6: Final answer
    x = 155.95

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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.