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Finding the Fourth Proportional to 226.02, 311.88 and 132.75

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Solution

The fourth proportional to 226.02, 311.88 and 132.75 is: 183.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.02 : 311.88 = 132.75 : x
  2. Step 2: Convert to fraction form
    226.02/311.88 = 132.75/x
  3. Step 3: Cross multiply
    226.02x = 311.88 × 132.75
  4. Step 4: Simplify right side
    226.02x = 41,402.07
  5. Step 5: Solve for x
    x = 41,402.07/226.02
  6. Step 6: Final answer
    x = 183.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.