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Finding the Fourth Proportional to 433.21, 597.79 and 267.42

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Solution

The fourth proportional to 433.21, 597.79 and 267.42 is: 369.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.21 : 597.79 = 267.42 : x
  2. Step 2: Convert to fraction form
    433.21/597.79 = 267.42/x
  3. Step 3: Cross multiply
    433.21x = 597.79 × 267.42
  4. Step 4: Simplify right side
    433.21x = 159,860.33
  5. Step 5: Solve for x
    x = 159,860.33/433.21
  6. Step 6: Final answer
    x = 369.02

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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.