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Finding the Fourth Proportional to 321.55, 443.43 and 259.34

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Solution

The fourth proportional to 321.55, 443.43 and 259.34 is: 357.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.55 : 443.43 = 259.34 : x
  2. Step 2: Convert to fraction form
    321.55/443.43 = 259.34/x
  3. Step 3: Cross multiply
    321.55x = 443.43 × 259.34
  4. Step 4: Simplify right side
    321.55x = 115,000.24
  5. Step 5: Solve for x
    x = 115,000.24/321.55
  6. Step 6: Final answer
    x = 357.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.