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Finding the Fourth Proportional to 133.10, 182.08 and 131.90

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Solution

The fourth proportional to 133.10, 182.08 and 131.90 is: 180.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.10 : 182.08 = 131.90 : x
  2. Step 2: Convert to fraction form
    133.10/182.08 = 131.90/x
  3. Step 3: Cross multiply
    133.10x = 182.08 × 131.90
  4. Step 4: Simplify right side
    133.10x = 24,016.35
  5. Step 5: Solve for x
    x = 24,016.35/133.10
  6. Step 6: Final answer
    x = 180.44

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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.