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Finding the Fourth Proportional to 231.44, 347.15 and 185.56

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Solution

The fourth proportional to 231.44, 347.15 and 185.56 is: 278.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.44 : 347.15 = 185.56 : x
  2. Step 2: Convert to fraction form
    231.44/347.15 = 185.56/x
  3. Step 3: Cross multiply
    231.44x = 347.15 × 185.56
  4. Step 4: Simplify right side
    231.44x = 64,416.75
  5. Step 5: Solve for x
    x = 64,416.75/231.44
  6. Step 6: Final answer
    x = 278.34

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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.