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Finding the Fourth Proportional to 231.93, 347.90 and 123.80

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Solution

The fourth proportional to 231.93, 347.90 and 123.80 is: 185.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.93 : 347.90 = 123.80 : x
  2. Step 2: Convert to fraction form
    231.93/347.90 = 123.80/x
  3. Step 3: Cross multiply
    231.93x = 347.90 × 123.80
  4. Step 4: Simplify right side
    231.93x = 43,067.66
  5. Step 5: Solve for x
    x = 43,067.66/231.93
  6. Step 6: Final answer
    x = 185.69

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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.