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Finding the Fourth Proportional to 324.02, 489.42 and 324.02

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Solution

The fourth proportional to 324.02, 489.42 and 324.02 is: 489.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.02 : 489.42 = 324.02 : x
  2. Step 2: Convert to fraction form
    324.02/489.42 = 324.02/x
  3. Step 3: Cross multiply
    324.02x = 489.42 × 324.02
  4. Step 4: Simplify right side
    324.02x = 158,581.87
  5. Step 5: Solve for x
    x = 158,581.87/324.02
  6. Step 6: Final answer
    x = 489.42

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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.