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Finding the Fourth Proportional to 226.72, 313.17 and 183.22

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Solution

The fourth proportional to 226.72, 313.17 and 183.22 is: 253.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.72 : 313.17 = 183.22 : x
  2. Step 2: Convert to fraction form
    226.72/313.17 = 183.22/x
  3. Step 3: Cross multiply
    226.72x = 313.17 × 183.22
  4. Step 4: Simplify right side
    226.72x = 57,379.01
  5. Step 5: Solve for x
    x = 57,379.01/226.72
  6. Step 6: Final answer
    x = 253.08

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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.