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Finding the Fourth Proportional to 321.55, 443.27 and 277.10

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Solution

The fourth proportional to 321.55, 443.27 and 277.10 is: 381.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.55 : 443.27 = 277.10 : x
  2. Step 2: Convert to fraction form
    321.55/443.27 = 277.10/x
  3. Step 3: Cross multiply
    321.55x = 443.27 × 277.10
  4. Step 4: Simplify right side
    321.55x = 122,826.52
  5. Step 5: Solve for x
    x = 122,826.52/321.55
  6. Step 6: Final answer
    x = 381.99

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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.