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Finding the Fourth Proportional to 226.55, 313.10 and 171.27

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Solution

The fourth proportional to 226.55, 313.10 and 171.27 is: 236.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.55 : 313.10 = 171.27 : x
  2. Step 2: Convert to fraction form
    226.55/313.10 = 171.27/x
  3. Step 3: Cross multiply
    226.55x = 313.10 × 171.27
  4. Step 4: Simplify right side
    226.55x = 53,624.64
  5. Step 5: Solve for x
    x = 53,624.64/226.55
  6. Step 6: Final answer
    x = 236.70

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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.