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Finding the Fourth Proportional to 321.85, 443.50 and 263.53

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Solution

The fourth proportional to 321.85, 443.50 and 263.53 is: 363.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.85 : 443.50 = 263.53 : x
  2. Step 2: Convert to fraction form
    321.85/443.50 = 263.53/x
  3. Step 3: Cross multiply
    321.85x = 443.50 × 263.53
  4. Step 4: Simplify right side
    321.85x = 116,875.56
  5. Step 5: Solve for x
    x = 116,875.56/321.85
  6. Step 6: Final answer
    x = 363.14

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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.