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Finding the Fourth Proportional to 324.11, 485.06 and 200.78

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Solution

The fourth proportional to 324.11, 485.06 and 200.78 is: 300.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.11 : 485.06 = 200.78 : x
  2. Step 2: Convert to fraction form
    324.11/485.06 = 200.78/x
  3. Step 3: Cross multiply
    324.11x = 485.06 × 200.78
  4. Step 4: Simplify right side
    324.11x = 97,386.92
  5. Step 5: Solve for x
    x = 97,386.92/324.11
  6. Step 6: Final answer
    x = 300.48

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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.