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Finding the Fourth Proportional to 231.28, 345.41 and 182.68

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Solution

The fourth proportional to 231.28, 345.41 and 182.68 is: 272.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.28 : 345.41 = 182.68 : x
  2. Step 2: Convert to fraction form
    231.28/345.41 = 182.68/x
  3. Step 3: Cross multiply
    231.28x = 345.41 × 182.68
  4. Step 4: Simplify right side
    231.28x = 63,099.50
  5. Step 5: Solve for x
    x = 63,099.50/231.28
  6. Step 6: Final answer
    x = 272.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.