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Finding the Fourth Proportional to 321.10, 480.97 and 266.56

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Solution

The fourth proportional to 321.10, 480.97 and 266.56 is: 399.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.10 : 480.97 = 266.56 : x
  2. Step 2: Convert to fraction form
    321.10/480.97 = 266.56/x
  3. Step 3: Cross multiply
    321.10x = 480.97 × 266.56
  4. Step 4: Simplify right side
    321.10x = 128,206.49
  5. Step 5: Solve for x
    x = 128,206.49/321.10
  6. Step 6: Final answer
    x = 399.28

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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.