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Finding the Fourth Proportional to 322.23, 483.34 and 200.32

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Solution

The fourth proportional to 322.23, 483.34 and 200.32 is: 300.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.23 : 483.34 = 200.32 : x
  2. Step 2: Convert to fraction form
    322.23/483.34 = 200.32/x
  3. Step 3: Cross multiply
    322.23x = 483.34 × 200.32
  4. Step 4: Simplify right side
    322.23x = 96,822.17
  5. Step 5: Solve for x
    x = 96,822.17/322.23
  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.