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Finding the Fourth Proportional to 231.15, 348.29 and 206.29

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Solution

The fourth proportional to 231.15, 348.29 and 206.29 is: 310.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.15 : 348.29 = 206.29 : x
  2. Step 2: Convert to fraction form
    231.15/348.29 = 206.29/x
  3. Step 3: Cross multiply
    231.15x = 348.29 × 206.29
  4. Step 4: Simplify right side
    231.15x = 71,848.92
  5. Step 5: Solve for x
    x = 71,848.92/231.15
  6. Step 6: Final answer
    x = 310.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.