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Finding the Fourth Proportional to 322.85, 483.94 and 149.31

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Solution

The fourth proportional to 322.85, 483.94 and 149.31 is: 223.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.85 : 483.94 = 149.31 : x
  2. Step 2: Convert to fraction form
    322.85/483.94 = 149.31/x
  3. Step 3: Cross multiply
    322.85x = 483.94 × 149.31
  4. Step 4: Simplify right side
    322.85x = 72,257.08
  5. Step 5: Solve for x
    x = 72,257.08/322.85
  6. Step 6: Final answer
    x = 223.81

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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.