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Finding the Fourth Proportional to 267.85, 399.72 and 226.00

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Solution

The fourth proportional to 267.85, 399.72 and 226.00 is: 337.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.85 : 399.72 = 226.00 : x
  2. Step 2: Convert to fraction form
    267.85/399.72 = 226.00/x
  3. Step 3: Cross multiply
    267.85x = 399.72 × 226.00
  4. Step 4: Simplify right side
    267.85x = 90,335.72
  5. Step 5: Solve for x
    x = 90,335.72/267.85
  6. Step 6: Final answer
    x = 337.27

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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.