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Finding the Fourth Proportional to 321.89, 483.20 and 271.16

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Solution

The fourth proportional to 321.89, 483.20 and 271.16 is: 407.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.89 : 483.20 = 271.16 : x
  2. Step 2: Convert to fraction form
    321.89/483.20 = 271.16/x
  3. Step 3: Cross multiply
    321.89x = 483.20 × 271.16
  4. Step 4: Simplify right side
    321.89x = 131,022.77
  5. Step 5: Solve for x
    x = 131,022.77/321.89
  6. Step 6: Final answer
    x = 407.05

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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.