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Finding the Fourth Proportional to 267.81, 399.80 and 255.99

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Solution

The fourth proportional to 267.81, 399.80 and 255.99 is: 382.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.81 : 399.80 = 255.99 : x
  2. Step 2: Convert to fraction form
    267.81/399.80 = 255.99/x
  3. Step 3: Cross multiply
    267.81x = 399.80 × 255.99
  4. Step 4: Simplify right side
    267.81x = 102,344.80
  5. Step 5: Solve for x
    x = 102,344.80/267.81
  6. Step 6: Final answer
    x = 382.15

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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.