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Finding the Fourth Proportional to 233.53, 324.43 and 231.42

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Solution

The fourth proportional to 233.53, 324.43 and 231.42 is: 321.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.53 : 324.43 = 231.42 : x
  2. Step 2: Convert to fraction form
    233.53/324.43 = 231.42/x
  3. Step 3: Cross multiply
    233.53x = 324.43 × 231.42
  4. Step 4: Simplify right side
    233.53x = 75,079.59
  5. Step 5: Solve for x
    x = 75,079.59/233.53
  6. Step 6: Final answer
    x = 321.50

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.