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Finding the Fourth Proportional to 235.24, 321.75 and 231.46

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Solution

The fourth proportional to 235.24, 321.75 and 231.46 is: 316.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.24 : 321.75 = 231.46 : x
  2. Step 2: Convert to fraction form
    235.24/321.75 = 231.46/x
  3. Step 3: Cross multiply
    235.24x = 321.75 × 231.46
  4. Step 4: Simplify right side
    235.24x = 74,472.26
  5. Step 5: Solve for x
    x = 74,472.26/235.24
  6. Step 6: Final answer
    x = 316.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.