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Finding the Fourth Proportional to 226.00, 311.56 and 176.27

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Solution

The fourth proportional to 226.00, 311.56 and 176.27 is: 243.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.00 : 311.56 = 176.27 : x
  2. Step 2: Convert to fraction form
    226.00/311.56 = 176.27/x
  3. Step 3: Cross multiply
    226.00x = 311.56 × 176.27
  4. Step 4: Simplify right side
    226.00x = 54,919.02
  5. Step 5: Solve for x
    x = 54,919.02/226.00
  6. Step 6: Final answer
    x = 243.01

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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.