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Finding the Fourth Proportional to 267.32, 399.09 and 221.72

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Solution

The fourth proportional to 267.32, 399.09 and 221.72 is: 331.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.32 : 399.09 = 221.72 : x
  2. Step 2: Convert to fraction form
    267.32/399.09 = 221.72/x
  3. Step 3: Cross multiply
    267.32x = 399.09 × 221.72
  4. Step 4: Simplify right side
    267.32x = 88,486.23
  5. Step 5: Solve for x
    x = 88,486.23/267.32
  6. Step 6: Final answer
    x = 331.01

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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.