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Finding the Fourth Proportional to 381.30, 571.40 and 244.06

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Solution

The fourth proportional to 381.30, 571.40 and 244.06 is: 365.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.30 : 571.40 = 244.06 : x
  2. Step 2: Convert to fraction form
    381.30/571.40 = 244.06/x
  3. Step 3: Cross multiply
    381.30x = 571.40 × 244.06
  4. Step 4: Simplify right side
    381.30x = 139,455.88
  5. Step 5: Solve for x
    x = 139,455.88/381.30
  6. Step 6: Final answer
    x = 365.74

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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.