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Finding the Fourth Proportional to 231.65, 319.76 and 138.43

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Solution

The fourth proportional to 231.65, 319.76 and 138.43 is: 191.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.65 : 319.76 = 138.43 : x
  2. Step 2: Convert to fraction form
    231.65/319.76 = 138.43/x
  3. Step 3: Cross multiply
    231.65x = 319.76 × 138.43
  4. Step 4: Simplify right side
    231.65x = 44,262.80
  5. Step 5: Solve for x
    x = 44,262.80/231.65
  6. Step 6: Final answer
    x = 191.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.