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Finding the Fourth Proportional to 231.44, 347.84 and 193.16

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Solution

The fourth proportional to 231.44, 347.84 and 193.16 is: 290.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.44 : 347.84 = 193.16 : x
  2. Step 2: Convert to fraction form
    231.44/347.84 = 193.16/x
  3. Step 3: Cross multiply
    231.44x = 347.84 × 193.16
  4. Step 4: Simplify right side
    231.44x = 67,188.77
  5. Step 5: Solve for x
    x = 67,188.77/231.44
  6. Step 6: Final answer
    x = 290.31

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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.