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Finding the Fourth Proportional to 321.80, 483.12 and 264.83

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Solution

The fourth proportional to 321.80, 483.12 and 264.83 is: 397.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.80 : 483.12 = 264.83 : x
  2. Step 2: Convert to fraction form
    321.80/483.12 = 264.83/x
  3. Step 3: Cross multiply
    321.80x = 483.12 × 264.83
  4. Step 4: Simplify right side
    321.80x = 127,942.25
  5. Step 5: Solve for x
    x = 127,942.25/321.80
  6. Step 6: Final answer
    x = 397.59

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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.