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Finding the Fourth Proportional to 267.29, 369.21 and 218.08

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Solution

The fourth proportional to 267.29, 369.21 and 218.08 is: 301.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.29 : 369.21 = 218.08 : x
  2. Step 2: Convert to fraction form
    267.29/369.21 = 218.08/x
  3. Step 3: Cross multiply
    267.29x = 369.21 × 218.08
  4. Step 4: Simplify right side
    267.29x = 80,517.32
  5. Step 5: Solve for x
    x = 80,517.32/267.29
  6. Step 6: Final answer
    x = 301.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.