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Finding the Fourth Proportional to 231.20, 318.48 and 189.68

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Solution

The fourth proportional to 231.20, 318.48 and 189.68 is: 261.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.20 : 318.48 = 189.68 : x
  2. Step 2: Convert to fraction form
    231.20/318.48 = 189.68/x
  3. Step 3: Cross multiply
    231.20x = 318.48 × 189.68
  4. Step 4: Simplify right side
    231.20x = 60,409.29
  5. Step 5: Solve for x
    x = 60,409.29/231.20
  6. Step 6: Final answer
    x = 261.29

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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.