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Finding the Fourth Proportional to 226.89, 313.20 and 171.64

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Solution

The fourth proportional to 226.89, 313.20 and 171.64 is: 236.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.89 : 313.20 = 171.64 : x
  2. Step 2: Convert to fraction form
    226.89/313.20 = 171.64/x
  3. Step 3: Cross multiply
    226.89x = 313.20 × 171.64
  4. Step 4: Simplify right side
    226.89x = 53,756.79
  5. Step 5: Solve for x
    x = 53,756.79/226.89
  6. Step 6: Final answer
    x = 236.93

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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.