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Finding the Fourth Proportional to 381.24, 571.32 and 289.44

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Solution

The fourth proportional to 381.24, 571.32 and 289.44 is: 433.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.24 : 571.32 = 289.44 : x
  2. Step 2: Convert to fraction form
    381.24/571.32 = 289.44/x
  3. Step 3: Cross multiply
    381.24x = 571.32 × 289.44
  4. Step 4: Simplify right side
    381.24x = 165,362.86
  5. Step 5: Solve for x
    x = 165,362.86/381.24
  6. Step 6: Final answer
    x = 433.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.