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Finding the Fourth Proportional to 489.36, 675.60 and 324.06

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Solution

The fourth proportional to 489.36, 675.60 and 324.06 is: 447.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.36 : 675.60 = 324.06 : x
  2. Step 2: Convert to fraction form
    489.36/675.60 = 324.06/x
  3. Step 3: Cross multiply
    489.36x = 675.60 × 324.06
  4. Step 4: Simplify right side
    489.36x = 218,934.94
  5. Step 5: Solve for x
    x = 218,934.94/489.36
  6. Step 6: Final answer
    x = 447.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.