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Finding the Fourth Proportional to 133.26, 182.92 and 120.30

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Solution

The fourth proportional to 133.26, 182.92 and 120.30 is: 165.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.26 : 182.92 = 120.30 : x
  2. Step 2: Convert to fraction form
    133.26/182.92 = 120.30/x
  3. Step 3: Cross multiply
    133.26x = 182.92 × 120.30
  4. Step 4: Simplify right side
    133.26x = 22,005.28
  5. Step 5: Solve for x
    x = 22,005.28/133.26
  6. Step 6: Final answer
    x = 165.13

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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.