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Finding the Fourth Proportional to 133.02, 200.37 and 112.65

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Solution

The fourth proportional to 133.02, 200.37 and 112.65 is: 169.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.02 : 200.37 = 112.65 : x
  2. Step 2: Convert to fraction form
    133.02/200.37 = 112.65/x
  3. Step 3: Cross multiply
    133.02x = 200.37 × 112.65
  4. Step 4: Simplify right side
    133.02x = 22,571.68
  5. Step 5: Solve for x
    x = 22,571.68/133.02
  6. Step 6: Final answer
    x = 169.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.