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Finding the Fourth Proportional to 324.05, 486.16 and 231.61

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Solution

The fourth proportional to 324.05, 486.16 and 231.61 is: 347.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.05 : 486.16 = 231.61 : x
  2. Step 2: Convert to fraction form
    324.05/486.16 = 231.61/x
  3. Step 3: Cross multiply
    324.05x = 486.16 × 231.61
  4. Step 4: Simplify right side
    324.05x = 112,598.36
  5. Step 5: Solve for x
    x = 112,598.36/324.05
  6. Step 6: Final answer
    x = 347.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.