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Finding the Fourth Proportional to 133.20, 182.64 and 129.96

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Solution

The fourth proportional to 133.20, 182.64 and 129.96 is: 178.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.20 : 182.64 = 129.96 : x
  2. Step 2: Convert to fraction form
    133.20/182.64 = 129.96/x
  3. Step 3: Cross multiply
    133.20x = 182.64 × 129.96
  4. Step 4: Simplify right side
    133.20x = 23,735.89
  5. Step 5: Solve for x
    x = 23,735.89/133.20
  6. Step 6: Final answer
    x = 178.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.