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Finding the Fourth Proportional to 133.80, 200.94 and 69.72

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Solution

The fourth proportional to 133.80, 200.94 and 69.72 is: 104.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.80 : 200.94 = 69.72 : x
  2. Step 2: Convert to fraction form
    133.80/200.94 = 69.72/x
  3. Step 3: Cross multiply
    133.80x = 200.94 × 69.72
  4. Step 4: Simplify right side
    133.80x = 14,009.54
  5. Step 5: Solve for x
    x = 14,009.54/133.80
  6. Step 6: Final answer
    x = 104.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.