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Finding the Fourth Proportional to 231.41, 347.09 and 77.29

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Solution

The fourth proportional to 231.41, 347.09 and 77.29 is: 115.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.41 : 347.09 = 77.29 : x
  2. Step 2: Convert to fraction form
    231.41/347.09 = 77.29/x
  3. Step 3: Cross multiply
    231.41x = 347.09 × 77.29
  4. Step 4: Simplify right side
    231.41x = 26,824.46
  5. Step 5: Solve for x
    x = 26,824.46/231.41
  6. Step 6: Final answer
    x = 115.92

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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.