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Finding the Fourth Proportional to 381.27, 567.01 and 369.12

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Solution

The fourth proportional to 381.27, 567.01 and 369.12 is: 548.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.27 : 567.01 = 369.12 : x
  2. Step 2: Convert to fraction form
    381.27/567.01 = 369.12/x
  3. Step 3: Cross multiply
    381.27x = 567.01 × 369.12
  4. Step 4: Simplify right side
    381.27x = 209,294.73
  5. Step 5: Solve for x
    x = 209,294.73/381.27
  6. Step 6: Final answer
    x = 548.94

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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.