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Finding the Fourth Proportional to 234.40, 321.28 and 231.04

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Solution

The fourth proportional to 234.40, 321.28 and 231.04 is: 316.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.40 : 321.28 = 231.04 : x
  2. Step 2: Convert to fraction form
    234.40/321.28 = 231.04/x
  3. Step 3: Cross multiply
    234.40x = 321.28 × 231.04
  4. Step 4: Simplify right side
    234.40x = 74,228.53
  5. Step 5: Solve for x
    x = 74,228.53/234.40
  6. Step 6: Final answer
    x = 316.67

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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.