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Finding the Fourth Proportional to 226.59, 312.83 and 171.10

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Solution

The fourth proportional to 226.59, 312.83 and 171.10 is: 236.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.59 : 312.83 = 171.10 : x
  2. Step 2: Convert to fraction form
    226.59/312.83 = 171.10/x
  3. Step 3: Cross multiply
    226.59x = 312.83 × 171.10
  4. Step 4: Simplify right side
    226.59x = 53,525.21
  5. Step 5: Solve for x
    x = 53,525.21/226.59
  6. Step 6: Final answer
    x = 236.22

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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.