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Finding the Fourth Proportional to 322.22, 483.46 and 192.34

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Solution

The fourth proportional to 322.22, 483.46 and 192.34 is: 288.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.22 : 483.46 = 192.34 : x
  2. Step 2: Convert to fraction form
    322.22/483.46 = 192.34/x
  3. Step 3: Cross multiply
    322.22x = 483.46 × 192.34
  4. Step 4: Simplify right side
    322.22x = 92,988.70
  5. Step 5: Solve for x
    x = 92,988.70/322.22
  6. Step 6: Final answer
    x = 288.59

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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.