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Finding the Fourth Proportional to 231.85, 347.08 and 140.27

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Solution

The fourth proportional to 231.85, 347.08 and 140.27 is: 209.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.85 : 347.08 = 140.27 : x
  2. Step 2: Convert to fraction form
    231.85/347.08 = 140.27/x
  3. Step 3: Cross multiply
    231.85x = 347.08 × 140.27
  4. Step 4: Simplify right side
    231.85x = 48,684.65
  5. Step 5: Solve for x
    x = 48,684.65/231.85
  6. Step 6: Final answer
    x = 209.98

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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.