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Finding the Fourth Proportional to 231.03, 346.49 and 68.69

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Solution

The fourth proportional to 231.03, 346.49 and 68.69 is: 103.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.03 : 346.49 = 68.69 : x
  2. Step 2: Convert to fraction form
    231.03/346.49 = 68.69/x
  3. Step 3: Cross multiply
    231.03x = 346.49 × 68.69
  4. Step 4: Simplify right side
    231.03x = 23,800.92
  5. Step 5: Solve for x
    x = 23,800.92/231.03
  6. Step 6: Final answer
    x = 103.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.