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Finding the Fourth Proportional to 322.45, 483.15 and 200.38

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Solution

The fourth proportional to 322.45, 483.15 and 200.38 is: 300.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.45 : 483.15 = 200.38 : x
  2. Step 2: Convert to fraction form
    322.45/483.15 = 200.38/x
  3. Step 3: Cross multiply
    322.45x = 483.15 × 200.38
  4. Step 4: Simplify right side
    322.45x = 96,813.60
  5. Step 5: Solve for x
    x = 96,813.60/322.45
  6. Step 6: Final answer
    x = 300.24

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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.