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Finding the Fourth Proportional to 233.64, 324.59 and 231.50

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Solution

The fourth proportional to 233.64, 324.59 and 231.50 is: 321.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.64 : 324.59 = 231.50 : x
  2. Step 2: Convert to fraction form
    233.64/324.59 = 231.50/x
  3. Step 3: Cross multiply
    233.64x = 324.59 × 231.50
  4. Step 4: Simplify right side
    233.64x = 75,142.24
  5. Step 5: Solve for x
    x = 75,142.24/233.64
  6. Step 6: Final answer
    x = 321.62

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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.