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Finding the Fourth Proportional to 234.62, 320.90 and 230.84

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Solution

The fourth proportional to 234.62, 320.90 and 230.84 is: 315.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.62 : 320.90 = 230.84 : x
  2. Step 2: Convert to fraction form
    234.62/320.90 = 230.84/x
  3. Step 3: Cross multiply
    234.62x = 320.90 × 230.84
  4. Step 4: Simplify right side
    234.62x = 74,073.80
  5. Step 5: Solve for x
    x = 74,073.80/234.62
  6. Step 6: Final answer
    x = 315.72

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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.