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Finding the Fourth Proportional to 321.91, 484.75 and 231.24

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Solution

The fourth proportional to 321.91, 484.75 and 231.24 is: 348.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.91 : 484.75 = 231.24 : x
  2. Step 2: Convert to fraction form
    321.91/484.75 = 231.24/x
  3. Step 3: Cross multiply
    321.91x = 484.75 × 231.24
  4. Step 4: Simplify right side
    321.91x = 112,093.59
  5. Step 5: Solve for x
    x = 112,093.59/321.91
  6. Step 6: Final answer
    x = 348.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.