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Finding the Fourth Proportional to 323.24, 445.55 and 267.89

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Solution

The fourth proportional to 323.24, 445.55 and 267.89 is: 369.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.24 : 445.55 = 267.89 : x
  2. Step 2: Convert to fraction form
    323.24/445.55 = 267.89/x
  3. Step 3: Cross multiply
    323.24x = 445.55 × 267.89
  4. Step 4: Simplify right side
    323.24x = 119,354.82
  5. Step 5: Solve for x
    x = 119,354.82/323.24
  6. Step 6: Final answer
    x = 369.25

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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.