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Finding the Fourth Proportional to 234.16, 320.56 and 226.80

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Solution

The fourth proportional to 234.16, 320.56 and 226.80 is: 310.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.16 : 320.56 = 226.80 : x
  2. Step 2: Convert to fraction form
    234.16/320.56 = 226.80/x
  3. Step 3: Cross multiply
    234.16x = 320.56 × 226.80
  4. Step 4: Simplify right side
    234.16x = 72,703.01
  5. Step 5: Solve for x
    x = 72,703.01/234.16
  6. Step 6: Final answer
    x = 310.48

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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.