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Finding the Fourth Proportional to 133.02, 182.34 and 131.13

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Solution

The fourth proportional to 133.02, 182.34 and 131.13 is: 179.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.02 : 182.34 = 131.13 : x
  2. Step 2: Convert to fraction form
    133.02/182.34 = 131.13/x
  3. Step 3: Cross multiply
    133.02x = 182.34 × 131.13
  4. Step 4: Simplify right side
    133.02x = 23,910.24
  5. Step 5: Solve for x
    x = 23,910.24/133.02
  6. Step 6: Final answer
    x = 179.75

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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.