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Finding the Fourth Proportional to 234.33, 321.73 and 228.31

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Solution

The fourth proportional to 234.33, 321.73 and 228.31 is: 313.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.33 : 321.73 = 228.31 : x
  2. Step 2: Convert to fraction form
    234.33/321.73 = 228.31/x
  3. Step 3: Cross multiply
    234.33x = 321.73 × 228.31
  4. Step 4: Simplify right side
    234.33x = 73,454.18
  5. Step 5: Solve for x
    x = 73,454.18/234.33
  6. Step 6: Final answer
    x = 313.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.