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Finding the Fourth Proportional to 233.38, 321.91 and 189.14

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Solution

The fourth proportional to 233.38, 321.91 and 189.14 is: 260.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.38 : 321.91 = 189.14 : x
  2. Step 2: Convert to fraction form
    233.38/321.91 = 189.14/x
  3. Step 3: Cross multiply
    233.38x = 321.91 × 189.14
  4. Step 4: Simplify right side
    233.38x = 60,883.98
  5. Step 5: Solve for x
    x = 60,883.98/233.38
  6. Step 6: Final answer
    x = 260.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.