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Finding the Fourth Proportional to 226.48, 312.83 and 167.58

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Solution

The fourth proportional to 226.48, 312.83 and 167.58 is: 231.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.48 : 312.83 = 167.58 : x
  2. Step 2: Convert to fraction form
    226.48/312.83 = 167.58/x
  3. Step 3: Cross multiply
    226.48x = 312.83 × 167.58
  4. Step 4: Simplify right side
    226.48x = 52,424.05
  5. Step 5: Solve for x
    x = 52,424.05/226.48
  6. Step 6: Final answer
    x = 231.47

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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.