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Finding the Fourth Proportional to 226.45, 312.31 and 171.32

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Solution

The fourth proportional to 226.45, 312.31 and 171.32 is: 236.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.45 : 312.31 = 171.32 : x
  2. Step 2: Convert to fraction form
    226.45/312.31 = 171.32/x
  3. Step 3: Cross multiply
    226.45x = 312.31 × 171.32
  4. Step 4: Simplify right side
    226.45x = 53,502.64
  5. Step 5: Solve for x
    x = 53,502.64/226.45
  6. Step 6: Final answer
    x = 236.27

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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.