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Finding the Fourth Proportional to 234.60, 321.16 and 226.40

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Solution

The fourth proportional to 234.60, 321.16 and 226.40 is: 309.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.60 : 321.16 = 226.40 : x
  2. Step 2: Convert to fraction form
    234.60/321.16 = 226.40/x
  3. Step 3: Cross multiply
    234.60x = 321.16 × 226.40
  4. Step 4: Simplify right side
    234.60x = 72,710.62
  5. Step 5: Solve for x
    x = 72,710.62/234.60
  6. Step 6: Final answer
    x = 309.93

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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.