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Finding the Fourth Proportional to 321.57, 480.33 and 267.50

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Solution

The fourth proportional to 321.57, 480.33 and 267.50 is: 399.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.57 : 480.33 = 267.50 : x
  2. Step 2: Convert to fraction form
    321.57/480.33 = 267.50/x
  3. Step 3: Cross multiply
    321.57x = 480.33 × 267.50
  4. Step 4: Simplify right side
    321.57x = 128,489.48
  5. Step 5: Solve for x
    x = 128,489.48/321.57
  6. Step 6: Final answer
    x = 399.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.