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Finding the Fourth Proportional to 234.56, 321.70 and 229.16

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Solution

The fourth proportional to 234.56, 321.70 and 229.16 is: 314.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.56 : 321.70 = 229.16 : x
  2. Step 2: Convert to fraction form
    234.56/321.70 = 229.16/x
  3. Step 3: Cross multiply
    234.56x = 321.70 × 229.16
  4. Step 4: Simplify right side
    234.56x = 73,720.77
  5. Step 5: Solve for x
    x = 73,720.77/234.56
  6. Step 6: Final answer
    x = 314.29

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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.