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Finding the Fourth Proportional to 489.30, 675.12 and 323.78

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Solution

The fourth proportional to 489.30, 675.12 and 323.78 is: 446.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.30 : 675.12 = 323.78 : x
  2. Step 2: Convert to fraction form
    489.30/675.12 = 323.78/x
  3. Step 3: Cross multiply
    489.30x = 675.12 × 323.78
  4. Step 4: Simplify right side
    489.30x = 218,590.35
  5. Step 5: Solve for x
    x = 218,590.35/489.30
  6. Step 6: Final answer
    x = 446.74

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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.