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Finding the Fourth Proportional to 381.14, 572.36 and 244.46

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Solution

The fourth proportional to 381.14, 572.36 and 244.46 is: 367.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.14 : 572.36 = 244.46 : x
  2. Step 2: Convert to fraction form
    381.14/572.36 = 244.46/x
  3. Step 3: Cross multiply
    381.14x = 572.36 × 244.46
  4. Step 4: Simplify right side
    381.14x = 139,919.13
  5. Step 5: Solve for x
    x = 139,919.13/381.14
  6. Step 6: Final answer
    x = 367.11

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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.