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Finding the Fourth Proportional to 322.82, 483.81 and 130.34

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Solution

The fourth proportional to 322.82, 483.81 and 130.34 is: 195.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.82 : 483.81 = 130.34 : x
  2. Step 2: Convert to fraction form
    322.82/483.81 = 130.34/x
  3. Step 3: Cross multiply
    322.82x = 483.81 × 130.34
  4. Step 4: Simplify right side
    322.82x = 63,059.80
  5. Step 5: Solve for x
    x = 63,059.80/322.82
  6. Step 6: Final answer
    x = 195.34

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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.