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Finding the Fourth Proportional to 231.84, 319.23 and 204.12

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Solution

The fourth proportional to 231.84, 319.23 and 204.12 is: 281.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.84 : 319.23 = 204.12 : x
  2. Step 2: Convert to fraction form
    231.84/319.23 = 204.12/x
  3. Step 3: Cross multiply
    231.84x = 319.23 × 204.12
  4. Step 4: Simplify right side
    231.84x = 65,161.23
  5. Step 5: Solve for x
    x = 65,161.23/231.84
  6. Step 6: Final answer
    x = 281.06

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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.